Pith Number

pith:5QNIFAX7

pith:1999:5QNIFAX7QLTJJICKOXALFK2ZOR

not attested not anchored not stored refs pending

Calculation of the phi^4 6-loop non-zeta transcendental

Oliver Schnetz

arxiv:hep-th/9912149 v1 · 1999-12-16 · 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{5QNIFAX7QLTJJICKOXALFK2ZOR}

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

Graphical Functions by Examples

Receipt and verification

First computed	2026-07-04T14:33:33.407545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec1a8282ff82e694a04a75c0b2ab59747a6696a22c64861169f2e2b0f0719317

Aliases

arxiv: hep-th/9912149 · arxiv_version: hep-th/9912149v1 · doi: 10.48550/arxiv.hep-th/9912149 · pith_short_12: 5QNIFAX7QLTJ · pith_short_16: 5QNIFAX7QLTJJICK · pith_short_8: 5QNIFAX7

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/5QNIFAX7QLTJJICKOXALFK2ZOR \
  | 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: ec1a8282ff82e694a04a75c0b2ab59747a6696a22c64861169f2e2b0f0719317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6142d151d8e45fccb9c2f016afaab4b2acb6d56f192044f0348c90a3ad897bd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-12-16T18:23:52Z",
    "title_canon_sha256": "b28dd1b6240e652e348b6ad690ef3745c7a5ed1a69bcb749494dae9a46f2a7d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9912149",
    "kind": "arxiv",
    "version": 1
  }
}