Pith Number

pith:VM7OM5RQ

pith:2026:VM7OM5RQOQWXQ6PW7FKEU7GFWB

not attested not anchored not stored refs pending

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

Bao-Zhu Guo, Dong-Hui Yang

arxiv:2605.19599 v1 · 2026-05-19 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VM7OM5RQOQWXQ6PW7FKEU7GFWB}

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	2026-05-20T01:05:53.675304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab3ee67630742d7879f6f9544a7cc5b06142ed82c55fdea5e90c4215180c72b0

Aliases

arxiv: 2605.19599 · arxiv_version: 2605.19599v1 · doi: 10.48550/arxiv.2605.19599 · pith_short_12: VM7OM5RQOQWX · pith_short_16: VM7OM5RQOQWXQ6PW · pith_short_8: VM7OM5RQ

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/VM7OM5RQOQWXQ6PW7FKEU7GFWB \
  | 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: ab3ee67630742d7879f6f9544a7cc5b06142ed82c55fdea5e90c4215180c72b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d54caed1a22dcc0d2799d44300a68eb494d0d18d625df845d7af27f9c1dc9cab",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-19T09:41:03Z",
    "title_canon_sha256": "28542cc80829b31e147c711f0419af0b2706794ede7fd8e8b2437b116ead9bdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19599",
    "kind": "arxiv",
    "version": 1
  }
}