Pith Number

pith:QGDDAZJK

pith:2022:QGDDAZJKPM5LEUHT566QJCTKIC

not attested not anchored not stored refs pending

Bananas: multi-edge graphs and their Feynman integrals

Dirk Kreimer

arxiv:2202.05490 v2 · 2022-02-11 · 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{QGDDAZJKPM5LEUHT566QJCTKIC}

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

Special Fano geometry from Feynman integrals

Receipt and verification

First computed	2026-07-05T05:57:10.528747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818630652a7b3ab250f3efbd048a6a40ad3abb1372551327ef049aee1f24c7cb

Aliases

arxiv: 2202.05490 · arxiv_version: 2202.05490v2 · doi: 10.48550/arxiv.2202.05490 · pith_short_12: QGDDAZJKPM5L · pith_short_16: QGDDAZJKPM5LEUHT · pith_short_8: QGDDAZJK

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/QGDDAZJKPM5LEUHT566QJCTKIC \
  | 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: 818630652a7b3ab250f3efbd048a6a40ad3abb1372551327ef049aee1f24c7cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8d1c61a83b07d097ea8237f3d670fe5a25a199d20bd21a9f67e95809fa1212e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-02-11T08:02:32Z",
    "title_canon_sha256": "4002e9feab3798ec2a2a368f797eb674acbef7463e332a04f999561d0abaf092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.05490",
    "kind": "arxiv",
    "version": 2
  }
}