Pith Number

pith:JC7Y7F3L

pith:2012:JC7Y7F3LHDIECEEQZGHBD3LEXE

not attested not anchored not stored refs pending

Heat content asymptotics with singular data

M. van den Berg, P. Gilkey

arxiv:1201.4350 v1 · 2012-01-20 · 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{JC7Y7F3LHDIECEEQZGHBD3LEXE}

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	2026-05-18T01:58:44.236388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48bf8f976b38d0411090c98e11ed64b933d25a94d946052b78496a133a5395a0

Aliases

arxiv: 1201.4350 · arxiv_version: 1201.4350v1 · doi: 10.48550/arxiv.1201.4350 · pith_short_12: JC7Y7F3LHDIE · pith_short_16: JC7Y7F3LHDIECEEQ · pith_short_8: JC7Y7F3L

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/JC7Y7F3LHDIECEEQZGHBD3LEXE \
  | 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: 48bf8f976b38d0411090c98e11ed64b933d25a94d946052b78496a133a5395a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d5beacb0909f5187244207631cabe094f648d48983bf01fe0918444ee1bea8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-20T17:38:11Z",
    "title_canon_sha256": "d818d6b95bec54633f64bab5547d2e3c1c9f5488e551b553cc0324b51e857cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4350",
    "kind": "arxiv",
    "version": 1
  }
}