Pith Number

pith:VQ6BSSHE

pith:2026:VQ6BSSHEBFZ4ZI457I2RTQ3DNJ

not attested not anchored not stored refs pending

Intersection matrices associated to geometric-ordered bases of Feynman integrals

Federico Gasparotto, Iris Bree, Sebastian P\"ogel, Stefan Weinzierl, Xiaofeng Xu, Xing Wang

arxiv:2608.03646 v1 · 2026-08-04 · 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{VQ6BSSHEBFZ4ZI457I2RTQ3DNJ}

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.

Receipt and verification

First computed	2026-08-05T01:36:48.859527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac3c1948e40973cca39dfa3519c3636a5b51911bf47adb498532e05ab58a51a6

Aliases

arxiv: 2608.03646 · arxiv_version: 2608.03646v1 · doi: 10.48550/arxiv.2608.03646 · pith_short_12: VQ6BSSHEBFZ4 · pith_short_16: VQ6BSSHEBFZ4ZI45 · pith_short_8: VQ6BSSHE

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/VQ6BSSHEBFZ4ZI457I2RTQ3DNJ \
  | 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: ac3c1948e40973cca39dfa3519c3636a5b51911bf47adb498532e05ab58a51a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa867311b5685573a91b987cb44d20420130fc4940891ea2701c402ff9768f60",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-04T13:30:09Z",
    "title_canon_sha256": "d0f1a1394cd0216dd1ec40786fdbbeeaa753e4c79729cef15349be81c96ab989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03646",
    "kind": "arxiv",
    "version": 1
  }
}