Pith Number

pith:IY3CBOIP

pith:2010:IY3CBOIP5YJJTI6X4NTAA26WTY

not attested not anchored not stored refs pending

Singular solutions to the heat equations with nonlinear absorption and Hardy potentials

Andrey Shishkov, Vitali Liskevich, Zeev Sobol

arxiv:1009.4591 v1 · 2010-09-23 · 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{IY3CBOIP5YJJTI6X4NTAA26WTY}

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	2026-05-18T04:40:30.043200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

463620b90fee1299a3d7e366006bd69e30d3358b21e5adefbc4f1548fd28c043

Aliases

arxiv: 1009.4591 · arxiv_version: 1009.4591v1 · doi: 10.48550/arxiv.1009.4591 · pith_short_12: IY3CBOIP5YJJ · pith_short_16: IY3CBOIP5YJJTI6X · pith_short_8: IY3CBOIP

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/IY3CBOIP5YJJTI6X4NTAA26WTY \
  | 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: 463620b90fee1299a3d7e366006bd69e30d3358b21e5adefbc4f1548fd28c043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c889deb7e0a371f98a185b9e218c8fb058ed2f046917b15919337214bcd2af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-23T12:18:36Z",
    "title_canon_sha256": "665c1431cd8811fca0fd836007b594d1af6f65f252253f298aa48b53eeca0cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4591",
    "kind": "arxiv",
    "version": 1
  }
}