Pith Number

pith:65A4BI22

pith:2001:65A4BI22I6FRW3QJBSRRNNVPPR

not attested not anchored not stored refs pending

Towards Collinear Evolution Equations in Electroweak Theory

D. Comelli, M. Ciafaloni, P. Ciafaloni

arxiv:hep-ph/0111109 v1 · 2001-11-09 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65A4BI22I6FRW3QJBSRRNNVPPR}

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	2026-07-04T16:27:39.761886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f741c0a35a478b1b6e090ca316b6af7c598943e1aa97878dae7449d503e0b8ba

Aliases

arxiv: hep-ph/0111109 · arxiv_version: hep-ph/0111109v1 · doi: 10.48550/arxiv.hep-ph/0111109 · pith_short_12: 65A4BI22I6FR · pith_short_16: 65A4BI22I6FRW3QJ · pith_short_8: 65A4BI22

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/65A4BI22I6FRW3QJBSRRNNVPPR \
  | 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: f741c0a35a478b1b6e090ca316b6af7c598943e1aa97878dae7449d503e0b8ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e446959b0309f4bee932f83a014d744ee4431228c0679d54a01aa6e273788d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-11-09T10:22:25Z",
    "title_canon_sha256": "739e53ab63da19de27bf8ba6a3169dbceac6e889bd72eaf4b459f56f62767549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0111109",
    "kind": "arxiv",
    "version": 1
  }
}