Pith Number

pith:ZZCOQAQ7

pith:2012:ZZCOQAQ7F4MDPOI5FHRFTH4OWM

not attested not anchored not stored refs pending

Algorithms to Evaluate Multiple Sums for Loop Computations

C. Anzai, Y. Sumino

arxiv:1211.5204 v2 · 2012-11-22 · hep-th · hep-ph · 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{ZZCOQAQ7F4MDPOI5FHRFTH4OWM}

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	2026-05-18T01:53:01.684364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce44e8021f2f1837b91d29e2599f8eb325f43071649fb0c5a2760a388654522a

Aliases

arxiv: 1211.5204 · arxiv_version: 1211.5204v2 · doi: 10.48550/arxiv.1211.5204 · pith_short_12: ZZCOQAQ7F4MD · pith_short_16: ZZCOQAQ7F4MDPOI5 · pith_short_8: ZZCOQAQ7

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/ZZCOQAQ7F4MDPOI5FHRFTH4OWM \
  | 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: ce44e8021f2f1837b91d29e2599f8eb325f43071649fb0c5a2760a388654522a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c4ad5dbe45d51efd720160edc44a767591887a522b342de2921ccfbf42af88f",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-11-22T05:13:27Z",
    "title_canon_sha256": "3d5aaec9e2dda60bc886f1a24a588d3b86eda330f14ff392ad7279cf31d198f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5204",
    "kind": "arxiv",
    "version": 2
  }
}