Pith Number

pith:CVMVD4CH

pith:2013:CVMVD4CHHRA25BQUGHXRHBFB54

not attested not anchored not stored refs pending

Heat kernels on regular graphs and generalized Ihara zeta function formulas

Anders Karlsson, Gautam Chinta, Jay Jorgenson

arxiv:1302.4644 v1 · 2013-02-19 · math.CO · 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{CVMVD4CHHRA25BQUGHXRHBFB54}

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	2026-05-18T03:33:12.568038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

155951f0473c41ae861431ef1384a1ef17848cf33a7d97ef29f48b081f0447b0

Aliases

arxiv: 1302.4644 · arxiv_version: 1302.4644v1 · doi: 10.48550/arxiv.1302.4644 · pith_short_12: CVMVD4CHHRA2 · pith_short_16: CVMVD4CHHRA25BQU · pith_short_8: CVMVD4CH

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/CVMVD4CHHRA25BQUGHXRHBFB54 \
  | 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: 155951f0473c41ae861431ef1384a1ef17848cf33a7d97ef29f48b081f0447b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a7f0702bcd17a5ab4793c2aec8fd9671c9d4d0a43b30ac6849629d113e96db",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-19T15:29:57Z",
    "title_canon_sha256": "18d817ca58bc6813f357c77ecb3ab031639957a94514185f2f313d316c5da4df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4644",
    "kind": "arxiv",
    "version": 1
  }
}