Pith Number

pith:F2L3SY3Z

pith:2013:F2L3SY3ZKMDHYD2KRTQBA25XUS

not attested not anchored not stored refs pending

Removability of time-dependent singularities in the heat equation

Eiji Yanagida, Jin Takahashi

arxiv:1304.5147 v2 · 2013-04-18 · 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{F2L3SY3ZKMDHYD2KRTQBA25XUS}

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	2026-05-18T03:18:42.187852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e97b9637953067c0f4a8ce0106bb7a484af11f9c6363c9728fa61bee87943a5

Aliases

arxiv: 1304.5147 · arxiv_version: 1304.5147v2 · doi: 10.48550/arxiv.1304.5147 · pith_short_12: F2L3SY3ZKMDH · pith_short_16: F2L3SY3ZKMDHYD2K · pith_short_8: F2L3SY3Z

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/F2L3SY3ZKMDHYD2KRTQBA25XUS \
  | 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: 2e97b9637953067c0f4a8ce0106bb7a484af11f9c6363c9728fa61bee87943a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23f2ed3f8db9f7ea5c2bc628a93943462bd4db03f30e1974e405bef34d7c89dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-18T14:24:29Z",
    "title_canon_sha256": "baf196a7a6527b4db1aeead8db0d9ee68a94a30e68846c69764ddcbe7f7c80ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5147",
    "kind": "arxiv",
    "version": 2
  }
}