Pith Number

pith:X5REPSYB

pith:2026:X5REPSYB46YOUCUF5EWEI276VI

not attested not anchored not stored refs pending

Feynman Integrals Meet Second-Order Partial Differential Equations

Hantian Zhang, Xiang Chen

arxiv:2607.18406 v1 · 2026-07-20 · hep-ph · 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{X5REPSYB46YOUCUF5EWEI276VI}

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	2026-07-22T00:22:46.604491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf6247cb01e7b0ea0a85e92c446bfeaa1fec3c159673cacaa4c5a098817bfa14

Aliases

arxiv: 2607.18406 · arxiv_version: 2607.18406v1 · doi: 10.48550/arxiv.2607.18406 · pith_short_12: X5REPSYB46YO · pith_short_16: X5REPSYB46YOUCUF · pith_short_8: X5REPSYB

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/X5REPSYB46YOUCUF5EWEI276VI \
  | 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: bf6247cb01e7b0ea0a85e92c446bfeaa1fec3c159673cacaa4c5a098817bfa14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d6eb646a5de75c82ca69b8fd8e5d45b2e3d5b5a52cb94f3a8dd2e1fcde243f8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-20T18:00:45Z",
    "title_canon_sha256": "8bd0296419ba39888b9b471be57247389c7a19151e6400d2afb64b1fae34fba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18406",
    "kind": "arxiv",
    "version": 1
  }
}