Pith Number

pith:M6H2BEZM

pith:2013:M6H2BEZM6YM45VVEAIBEGX4TTO

not attested not anchored not stored refs pending

Metrics and spectral triples for Dirichlet and resistance forms

Alexander Teplyaev, Daniel J. Kelleher, Michael Hinz

arxiv:1309.5937 v2 · 2013-09-23 · math.OA · math-ph · math.DG · math.FA · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6H2BEZM6YM45VVEAIBEGX4TTO}

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	2026-05-18T00:12:11.802713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

678fa0932cf619ced6a40202435f939b9b9aac92f51aa646a6f6c6ffcc73fb29

Aliases

arxiv: 1309.5937 · arxiv_version: 1309.5937v2 · doi: 10.48550/arxiv.1309.5937 · pith_short_12: M6H2BEZM6YM4 · pith_short_16: M6H2BEZM6YM45VVE · pith_short_8: M6H2BEZM

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/M6H2BEZM6YM45VVEAIBEGX4TTO \
  | 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: 678fa0932cf619ced6a40202435f939b9b9aac92f51aa646a6f6c6ffcc73fb29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7ffa80bb60802d693410fd8aeabc3c02b54e5094aee2e63c20087de26dc2100",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.FA",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-09-23T19:54:33Z",
    "title_canon_sha256": "8de59af7b54b5d899bda5e60853ea9a6c2893ba6a214de9aa76d2c58dc2fbc71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5937",
    "kind": "arxiv",
    "version": 2
  }
}