Pith Number

pith:OT6M7BJ2

pith:2006:OT6M7BJ2SS7BXDE5AAE2JTXFFA

not attested not anchored not stored refs pending

Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients

Bo Feng, Ruth Britto

arxiv:hep-ph/0612089 v3 · 2006-12-07 · 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{OT6M7BJ2SS7BXDE5AAE2JTXFFA}

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

Feynman Integral Reduction without Integration-By-Parts

Receipt and verification

First computed	2026-07-04T15:25:11.248088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74fccf853a94be1b8c9d0009a4cee52805dba33286f46123f4b0c1df4fbbfd35

Aliases

arxiv: hep-ph/0612089 · arxiv_version: hep-ph/0612089v3 · doi: 10.48550/arxiv.hep-ph/0612089 · pith_short_12: OT6M7BJ2SS7B · pith_short_16: OT6M7BJ2SS7BXDE5 · pith_short_8: OT6M7BJ2

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/OT6M7BJ2SS7BXDE5AAE2JTXFFA \
  | 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: 74fccf853a94be1b8c9d0009a4cee52805dba33286f46123f4b0c1df4fbbfd35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "332e62a20be8a3332f04e5811f493f7072335ce46f13a66601ccf29ba94639af",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-12-07T16:45:09Z",
    "title_canon_sha256": "54aead653caef0f836ee85ba85fb7956cd8bff81678a790e1830933a78bb769f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0612089",
    "kind": "arxiv",
    "version": 3
  }
}