Pith Number

pith:PPKOS3EN

pith:2013:PPKOS3ENH2TQSKVIKOXVDRQDMC

not attested not anchored not stored refs pending

A Widder's type Theorem for the heat equation with nonlocal diffusion

Bego\~na Barrios, Enrico Valdinoci, Fernando Soria, Ireneo Peral

arxiv:1302.1786 v1 · 2013-02-07 · 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{PPKOS3ENH2TQSKVIKOXVDRQDMC}

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	2026-05-18T01:51:43.867672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd4e96c8d3ea7092aa853af51c603609939dfdacf11c1b4d281c3760db6164c

Aliases

arxiv: 1302.1786 · arxiv_version: 1302.1786v1 · doi: 10.48550/arxiv.1302.1786 · pith_short_12: PPKOS3ENH2TQ · pith_short_16: PPKOS3ENH2TQSKVI · pith_short_8: PPKOS3EN

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/PPKOS3ENH2TQSKVIKOXVDRQDMC \
  | 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: 7bd4e96c8d3ea7092aa853af51c603609939dfdacf11c1b4d281c3760db6164c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "645baf5f562cdc57d938a49bd906fb4be25ea278af168e857ee3721f37ee0930",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-07T15:54:05Z",
    "title_canon_sha256": "0246295cf4a8e2002c6e865e78750274d858a52d116428a5d40dc10980393bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1786",
    "kind": "arxiv",
    "version": 1
  }
}