Pith Number

pith:2TSMXGIY

pith:2023:2TSMXGIYVBU23MSVPWIVNGIISG

not attested not anchored not stored refs pending

GKZ hypergeometric systems of the three-loop vacuum Feynman integrals

Hai-Bin Zhang, Tai-Fu Feng

arxiv:2303.02795 v3 · 2023-03-05 · hep-th · hep-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TSMXGIYVBU23MSVPWIVNGIISG}

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	2026-07-05T06:09:33.556191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4e4cb9918a869adb2557d9156990891b020a8cc2e0e80e5111ce568e8b61a41

Aliases

arxiv: 2303.02795 · arxiv_version: 2303.02795v3 · doi: 10.48550/arxiv.2303.02795 · pith_short_12: 2TSMXGIYVBU2 · pith_short_16: 2TSMXGIYVBU23MSV · pith_short_8: 2TSMXGIY

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/2TSMXGIYVBU23MSVPWIVNGIISG \
  | 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: d4e4cb9918a869adb2557d9156990891b020a8cc2e0e80e5111ce568e8b61a41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6677a807b46cc5a7e0e12e86fe6abb4fd556043652ffe60e6ee35f08c4507105",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-03-05T23:06:24Z",
    "title_canon_sha256": "b3f2d7a3d624398497a7dfe5e3e08819721930605f8d51a8ad918643a67625f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.02795",
    "kind": "arxiv",
    "version": 3
  }
}