Pith Number

pith:HSPH446C

pith:1996:HSPH446C4TGFEX4YHWZFOQYVDL

not attested not anchored not stored refs pending

Compact analytical form for non-zeta terms in critical exponents at order 1/N^3

A. V. Kotikov, D. J. Broadhurst

arxiv:hep-th/9612013 v1 · 1996-12-01 · hep-th · hep-ph · math.QA · q-alg

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSPH446C4TGFEX4YHWZFOQYVDL}

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.

Cited by

1 paper in Pith

Local CFTs extremise $F$

Receipt and verification

First computed	2026-05-18T01:05:56.463719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c9e7e73c2e4cc525f983db25743151adf0c600db4ec3af7fdc258b6a80197e5

Aliases

arxiv: hep-th/9612013 · arxiv_version: hep-th/9612013v1 · doi: 10.48550/arxiv.hep-th/9612013 · pith_short_12: HSPH446C4TGF · pith_short_16: HSPH446C4TGFEX4Y · pith_short_8: HSPH446C

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/HSPH446C4TGFEX4YHWZFOQYVDL \
  | 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: 3c9e7e73c2e4cc525f983db25743151adf0c600db4ec3af7fdc258b6a80197e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34b8522d93413152b5f08a256aa55c0fb49634ea180e8916512f701105c9879b",
    "cross_cats_sorted": [
      "hep-ph",
      "math.QA",
      "q-alg"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-12-01T14:06:30Z",
    "title_canon_sha256": "1a719fd3ed439c5c1d66b1717fdee335b16a4801ad3fa472ed1eec9e6dc85285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9612013",
    "kind": "arxiv",
    "version": 1
  }
}