Pith Number

pith:2APEQ2D7

pith:2012:2APEQ2D7DKBH3CIVL2XDXN5NM2

not attested not anchored not stored refs pending

Heat Kernels and Zeta Functions on Fractals

Gerald V. Dunne

arxiv:1205.2723 v1 · 2012-05-11 · math-ph · gr-qc · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2APEQ2D7DKBH3CIVL2XDXN5NM2}

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.

Cited by

1 paper in Pith

Spontaneous symmetry breaking on graphs and lattices

Receipt and verification

First computed	2026-05-18T03:21:45.661574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d01e48687f1a827d89155eae3bb7ad6696e614a415418133b71f26b12f334d8e

Aliases

arxiv: 1205.2723 · arxiv_version: 1205.2723v1 · doi: 10.48550/arxiv.1205.2723 · pith_short_12: 2APEQ2D7DKBH · pith_short_16: 2APEQ2D7DKBH3CIV · pith_short_8: 2APEQ2D7

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/2APEQ2D7DKBH3CIVL2XDXN5NM2 \
  | 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: d01e48687f1a827d89155eae3bb7ad6696e614a415418133b71f26b12f334d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14154533feb2dbf2f2e9a4cfa9fe0534766914b5cf9521e5edd5c094b7af3ccf",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-11T21:09:01Z",
    "title_canon_sha256": "868a2dd3536caa7ffd33e4bad1dc9078e12302fa1ea16569c678190f3cbc69a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2723",
    "kind": "arxiv",
    "version": 1
  }
}