Pith Number

pith:JC7A6QBF

pith:2022:JC7A6QBFPMRKTMUE43HNA2JU7I

not attested not anchored not stored refs pending

GKZ-system of the 2-loop self energy with 4 propagators

Hai-Bin Zhang, Tai-Fu Feng, Yang Zhou, Yan-Qing Dong

arxiv:2209.15194 v2 · 2022-09-30 · 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{JC7A6QBFPMRKTMUE43HNA2JU7I}

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

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module

Receipt and verification

First computed	2026-07-05T06:08:09.691882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48be0f40257b22a9b284e6ced06934fa0179ee9edf63a2ffb498bb305311afb4

Aliases

arxiv: 2209.15194 · arxiv_version: 2209.15194v2 · doi: 10.48550/arxiv.2209.15194 · pith_short_12: JC7A6QBFPMRK · pith_short_16: JC7A6QBFPMRKTMUE · pith_short_8: JC7A6QBF

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/JC7A6QBFPMRKTMUE43HNA2JU7I \
  | 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: 48be0f40257b22a9b284e6ced06934fa0179ee9edf63a2ffb498bb305311afb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c97aea9f8a2221d8fab555a3123d9c0a7e21d7221c945c4470d9a16e6d576fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-09-30T02:40:58Z",
    "title_canon_sha256": "f81b1c0b1cc807ca85db82970cb99371d1c971ebfbb52c7b283d3053597b84dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.15194",
    "kind": "arxiv",
    "version": 2
  }
}