Pith Number

pith:T2JZ7SS5

pith:2011:T2JZ7SS5BHPCZTNLRKYUCWME23

not attested not anchored not stored refs pending

High orders of Weyl series for the heat content

Igor Travenec, Ladislav Samaj

arxiv:1103.0158 v1 · 2011-03-01 · math.SP · 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{T2JZ7SS5BHPCZTNLRKYUCWME23}

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	2026-05-18T04:12:02.107745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e939fca5d09de2ccdab8ab1415984d6e1fc3a073cb7e94962302fa478e2bf66

Aliases

arxiv: 1103.0158 · arxiv_version: 1103.0158v1 · doi: 10.48550/arxiv.1103.0158 · pith_short_12: T2JZ7SS5BHPC · pith_short_16: T2JZ7SS5BHPCZTNL · pith_short_8: T2JZ7SS5

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/T2JZ7SS5BHPCZTNLRKYUCWME23 \
  | 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: 9e939fca5d09de2ccdab8ab1415984d6e1fc3a073cb7e94962302fa478e2bf66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "775304268fd520bea137a8421699ee4ec4aec1c2446f2c84d9bff645b0fe51fc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-03-01T12:54:54Z",
    "title_canon_sha256": "c2f9706d091048ae7cc9f6499d8ec40ae3f4e55cfb7a3e58689bb7180f2da1fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0158",
    "kind": "arxiv",
    "version": 1
  }
}