Pith Number

pith:IL5BV4UT

pith:2017:IL5BV4UTXCVBCTHCTK337Q352N

not attested not anchored not stored refs pending

Heat kernel estimates for time fractional equations

Jian Wang, Panki Kim, Takashi Kumagai, Zhen-Qing Chen

arxiv:1708.05863 v2 · 2017-08-19 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IL5BV4UTXCVBCTHCTK337Q352N}

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	2026-05-18T00:35:40.806584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42fa1af293b8aa114ce29ab7bfc37dd368a73a451d80132edb05af3770fd3f17

Aliases

arxiv: 1708.05863 · arxiv_version: 1708.05863v2 · doi: 10.48550/arxiv.1708.05863 · pith_short_12: IL5BV4UTXCVB · pith_short_16: IL5BV4UTXCVBCTHC · pith_short_8: IL5BV4UT

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/IL5BV4UTXCVBCTHCTK337Q352N \
  | 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: 42fa1af293b8aa114ce29ab7bfc37dd368a73a451d80132edb05af3770fd3f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd5f5655c2158fcda7c9ebfea632fb372621cea661a3ec6a9fc416d165d096ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-19T15:30:29Z",
    "title_canon_sha256": "cb66e1934d4a86ab003fad286351c6d075f923177b4914ea2b11b3a112991297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05863",
    "kind": "arxiv",
    "version": 2
  }
}