Pith Number

pith:S2I45UDF

pith:2016:S2I45UDFSIQVBESZOFO3WMYYWC

not attested not anchored not stored refs pending

Massless scalar Feynman diagrams: five loops and beyond

David J. Broadhurst

arxiv:1604.08027 v1 · 2016-04-27 · hep-th · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2I45UDFSIQVBESZOFO3WMYYWC}

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

2 papers in Pith

Fano and Reflexive Polytopes from Feynman Integrals

Tropicalized quantum field theory and global tropical sampling

Receipt and verification

First computed	2026-05-18T01:16:08.348136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9691ced0659221509259715dbb3318b0861a056b2b897b8f0efd5dd0684577cb

Aliases

arxiv: 1604.08027 · arxiv_version: 1604.08027v1 · doi: 10.48550/arxiv.1604.08027 · pith_short_12: S2I45UDFSIQV · pith_short_16: S2I45UDFSIQVBESZ · pith_short_8: S2I45UDF

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/S2I45UDFSIQVBESZOFO3WMYYWC \
  | 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: 9691ced0659221509259715dbb3318b0861a056b2b897b8f0efd5dd0684577cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94ec6ea0b97cb7080a9b337714738d85c58afcf9aaadda41b9ae1d32cfebcb44",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-04-27T11:58:08Z",
    "title_canon_sha256": "fa34633263f0ebaee1e6fa09ebbc946227c9b8dae89a6dc5485897ae1972cd0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08027",
    "kind": "arxiv",
    "version": 1
  }
}