Pith Number

pith:7XJ2EEHN

pith:2015:7XJ2EEHNGOSYVC2AF44CT2R5G5

not attested not anchored not stored refs pending

Semilinear elliptic equations with Hardy potential and subcritical source term

Phuoc-Tai Nguyen

arxiv:1510.03803 v2 · 2015-10-13 · 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{7XJ2EEHNGOSYVC2AF44CT2R5G5}

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.

Receipt and verification

First computed	2026-05-18T01:28:37.698638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdd3a210ed33a58a8b402f3829ea3d377dc82383ba13ec45c81d9f14c829c6f6

Aliases

arxiv: 1510.03803 · arxiv_version: 1510.03803v2 · doi: 10.48550/arxiv.1510.03803 · pith_short_12: 7XJ2EEHNGOSY · pith_short_16: 7XJ2EEHNGOSYVC2A · pith_short_8: 7XJ2EEHN

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/7XJ2EEHNGOSYVC2AF44CT2R5G5 \
  | 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: fdd3a210ed33a58a8b402f3829ea3d377dc82383ba13ec45c81d9f14c829c6f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cdd976ad30d2b316dceb7ff5cbb6416df3f74ba7a7c732fcda445d5797b92cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-13T18:06:34Z",
    "title_canon_sha256": "3d526ccf13943905a26d6bb4e80e5a31cf28cb98773624f38068f679207c04d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03803",
    "kind": "arxiv",
    "version": 2
  }
}