Pith Number

pith:NMF6JPAU

pith:2004:NMF6JPAUWBNM4JL6QKVAOQK6WJ

not attested not anchored not stored refs pending

Multiplicative anomaly and zeta factorization

E. Elizalde, M. Tierz

arxiv:hep-th/0402186 v1 · 2004-02-23 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMF6JPAUWBNM4JL6QKVAOQK6WJ}

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	2026-05-18T02:35:39.906509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b0be4bc14b05ace257e82aa07415eb255343b4576bdd382c25f4323854cfd95

Aliases

arxiv: hep-th/0402186 · arxiv_version: hep-th/0402186v1 · doi: 10.48550/arxiv.hep-th/0402186 · pith_short_12: NMF6JPAUWBNM · pith_short_16: NMF6JPAUWBNM4JL6 · pith_short_8: NMF6JPAU

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/NMF6JPAUWBNM4JL6QKVAOQK6WJ \
  | 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: 6b0be4bc14b05ace257e82aa07415eb255343b4576bdd382c25f4323854cfd95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c84025f97fa6e4ad5724b33e0a7fcb15298b25e609b49401bad56dc9db49b7b2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-02-23T21:26:02Z",
    "title_canon_sha256": "324cbd1f87e2fb4636223b862723f48ff958c0fb23b0c89ffdc930197b1c5b09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0402186",
    "kind": "arxiv",
    "version": 1
  }
}