Pith Number

pith:3F7S5HBO

pith:2011:3F7S5HBOIUY2AA7UFL32RWK7ZS

not attested not anchored not stored refs pending

Graph Zeta Function and Gauge Theories

Yang-Hui He

arxiv:1102.1304 v1 · 2011-02-07 · math-ph · hep-th · 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{3F7S5HBOIUY2AA7UFL32RWK7ZS}

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	2026-05-18T04:26:32.583506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d97f2e9c2e4531a003f42af7a8d95fccb9fa8aab9eda881a1859b8fc90c02c8b

Aliases

arxiv: 1102.1304 · arxiv_version: 1102.1304v1 · doi: 10.48550/arxiv.1102.1304 · pith_short_12: 3F7S5HBOIUY2 · pith_short_16: 3F7S5HBOIUY2AA7U · pith_short_8: 3F7S5HBO

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/3F7S5HBOIUY2AA7UFL32RWK7ZS \
  | 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: d97f2e9c2e4531a003f42af7a8d95fccb9fa8aab9eda881a1859b8fc90c02c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "920ddcea6d32cc649e285c72ed771ba16926ca6a25b8e1826a365cfbef27b429",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-07T13:50:38Z",
    "title_canon_sha256": "1e5c30166c1f660f12dfe839db7ef38305c362ff4b623550c6e5f1d5de57fd36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1304",
    "kind": "arxiv",
    "version": 1
  }
}