Pith Number

pith:KIVXN7PK

pith:2025:KIVXN7PKW62TDTUP4NERTVESDG

not attested not anchored not stored refs pending

Approximation of Elliptic Equations with Interior Single-Point Degeneracy and Its Application to Weak Unique Continuation Property

Donghui Yang, Jie Zhong, Weijia Wu, Yaozhong Hu

arxiv:2501.10923 v2 · 2025-01-19 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIVXN7PKW62TDTUP4NERTVESDG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

6 papers in Pith

Shape Design for Degenerate Parabolic Equations with Degenerate Boundaries and Its Application to Boundary Observability

Approximation of Degenerate Hyperbolic Equations with Interior Degeneracy and Applications to Controllability

Some Key Properties of Eigenfunctions Linked to Degenerate Elliptic Differential Operators

Quantitative Weak Unique Continuation on Annular Domains for Backward Degenerate Parabolic Equations with Degenerate Interior Points

A Shape Design Approximation for Degenerate Partial Differential Equations and Its Application

Receipt and verification

First computed	2026-07-05T12:01:57.140224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

522b76fdeab7b531ce8fe34919d492199f9d3e87035e00e53207e498abd386be

Aliases

arxiv: 2501.10923 · arxiv_version: 2501.10923v2 · doi: 10.48550/arxiv.2501.10923 · pith_short_12: KIVXN7PKW62T · pith_short_16: KIVXN7PKW62TDTUP · pith_short_8: KIVXN7PK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KIVXN7PKW62TDTUP4NERTVESDG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 522b76fdeab7b531ce8fe34919d492199f9d3e87035e00e53207e498abd386be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d8276c16331adb6f97cd9917914f040a10ec0b997821a2c8212c83fbaafdcb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-19T02:54:31Z",
    "title_canon_sha256": "eb2b2250b7789cfbd368a663c74d94c6fc03ba9920ab2bd2c745f58a44ad19e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10923",
    "kind": "arxiv",
    "version": 2
  }
}