Pith Number

pith:X2ADW7X2

pith:2013:X2ADW7X2PGR76AZ45E2LRD362N

not attested not anchored not stored refs pending

Heat trace and spectral action on the standard Podles sphere

Andrzej Sitarz, Bruno Iochum, Michal Eckstein

arxiv:1307.4188 v1 · 2013-07-16 · math.QA · hep-th · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2ADW7X2PGR76AZ45E2LRD362N}

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	2026-05-18T00:14:29.438153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be803b7efa79a3ff033ce934b88f7ed37688f58978b3c59cc82eb618c5776ede

Aliases

arxiv: 1307.4188 · arxiv_version: 1307.4188v1 · doi: 10.48550/arxiv.1307.4188 · pith_short_12: X2ADW7X2PGR7 · pith_short_16: X2ADW7X2PGR76AZ4 · pith_short_8: X2ADW7X2

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/X2ADW7X2PGR76AZ45E2LRD362N \
  | 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: be803b7efa79a3ff033ce934b88f7ed37688f58978b3c59cc82eb618c5776ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd00e80b59d474ddb383d2271e23732ca70820049abfac5ce1125224cabdbf21",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-07-16T08:04:19Z",
    "title_canon_sha256": "c4db79276892d5718bb875c13a6e9489890d56879afa79485c07c5081a3cb5af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4188",
    "kind": "arxiv",
    "version": 1
  }
}