Pith Number

pith:T2P3OUOS

pith:2013:T2P3OUOSAH26OTCC634XYFDITT

not attested not anchored not stored refs pending

Multi-Loop Zeta Function Regularization and Spectral Cutoff in Curved Spacetime

Adel Bilal, Frank Ferrari

arxiv:1307.1689 v2 · 2013-07-05 · hep-th · gr-qc · 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{T2P3OUOSAH26OTCC634XYFDITT}

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	2026-05-18T01:48:59.268934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9fb751d201f5e74c42f6f97c14689cf93e3ea7fb8e7394e9d18cfdf5edb4d7

Aliases

arxiv: 1307.1689 · arxiv_version: 1307.1689v2 · doi: 10.48550/arxiv.1307.1689 · pith_short_12: T2P3OUOSAH26 · pith_short_16: T2P3OUOSAH26OTCC · pith_short_8: T2P3OUOS

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/T2P3OUOSAH26OTCC634XYFDITT \
  | 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: 9e9fb751d201f5e74c42f6f97c14689cf93e3ea7fb8e7394e9d18cfdf5edb4d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea3fbae88e1b1cccd2d87965d6810d0711379de514aa6a835f606b237330a33a",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-07-05T18:53:18Z",
    "title_canon_sha256": "6b95d2559e132d156ca914e760e8ea52487d762fafe527c335ad61b16b3805da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1689",
    "kind": "arxiv",
    "version": 2
  }
}