Pith Number

pith:PMTXNA2O

pith:2013:PMTXNA2OVVWTI6MBRKL7UYLPZ6

not attested not anchored not stored refs pending

Singularity Propagation for the Gurtin-Pipkin equation

Sergei Ivanov

arxiv:1312.1580 v1 · 2013-12-05 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMTXNA2OVVWTI6MBRKL7UYLPZ6}

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	2026-05-18T03:05:26.823998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2776834ead6d3479818a97fa616fcf92a5f431dc411f3b50f82b5f85003f57

Aliases

arxiv: 1312.1580 · arxiv_version: 1312.1580v1 · doi: 10.48550/arxiv.1312.1580 · pith_short_12: PMTXNA2OVVWT · pith_short_16: PMTXNA2OVVWTI6MB · pith_short_8: PMTXNA2O

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/PMTXNA2OVVWTI6MBRKL7UYLPZ6 \
  | 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: 7b2776834ead6d3479818a97fa616fcf92a5f431dc411f3b50f82b5f85003f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7dc5e8e883ba18e8b9c5d2666069fb68708db1ffed9431d25c59be91c121cb",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-05T15:34:40Z",
    "title_canon_sha256": "8a8bf86f83e0be07672242f292ce585767b4e1fe548123f2424289cd8a08f817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1580",
    "kind": "arxiv",
    "version": 1
  }
}