Pith Number

pith:W7KROLMZ

pith:2016:W7KROLMZG342L2SEUACN6DLDAX

not attested not anchored not stored refs pending

Gaussian heat kernel estimates: from functions to forms

Adam Sikora, Baptiste Devyver, Thierry Coulhon

arxiv:1606.02423 v1 · 2016-06-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7KROLMZG342L2SEUACN6DLDAX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:12:41.403030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d5172d9936f9a5ea44a004df0d6305d4cb9f9073da1272630f6f4735cc9e44

Aliases

arxiv: 1606.02423 · arxiv_version: 1606.02423v1 · doi: 10.48550/arxiv.1606.02423 · pith_short_12: W7KROLMZG342 · pith_short_16: W7KROLMZG342L2SE · pith_short_8: W7KROLMZ

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/W7KROLMZG342L2SEUACN6DLDAX \
  | 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: b7d5172d9936f9a5ea44a004df0d6305d4cb9f9073da1272630f6f4735cc9e44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e74879824dd167f67413da526455a4799e7c13a9fc36f9b0df4ac792b7b85a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-08T07:05:54Z",
    "title_canon_sha256": "2a6ddef8f3599732a2e9cc79c2ee24b11c8c753104423f9784c9430600099514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02423",
    "kind": "arxiv",
    "version": 1
  }
}