Pith Number

pith:7EFJ2NYU

pith:2013:7EFJ2NYUDM5SSRKGQU6LTCHFMJ

not attested not anchored not stored refs pending

Type III sigma-spectral triples and quantum statistical mechanical systems

Kevin Teh, Mark Greenfield, Matilde Marcolli

arxiv:1305.5492 v1 · 2013-05-23 · 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{7EFJ2NYUDM5SSRKGQU6LTCHFMJ}

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	2026-05-18T03:25:04.660509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f90a9d37141b3b294546853cb988e562452530a94314060fa7171cd8e4a7ac2f

Aliases

arxiv: 1305.5492 · arxiv_version: 1305.5492v1 · doi: 10.48550/arxiv.1305.5492 · pith_short_12: 7EFJ2NYUDM5S · pith_short_16: 7EFJ2NYUDM5SSRKG · pith_short_8: 7EFJ2NYU

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/7EFJ2NYUDM5SSRKGQU6LTCHFMJ \
  | 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: f90a9d37141b3b294546853cb988e562452530a94314060fa7171cd8e4a7ac2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4802c907061570004e758ecbba26d97fc9bfac04ca7ba36d0a46d7cef4fb2dba",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-05-23T17:31:36Z",
    "title_canon_sha256": "66fbe17c8d1f1c90e1f4b99cb1353d4fed1544bcd86a2d27c5d578e3be8749a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5492",
    "kind": "arxiv",
    "version": 1
  }
}