Pith Number

pith:YPD2E4VP

pith:2005:YPD2E4VPBPMJQQJGQYEC5UX76F

not attested not anchored not stored refs pending

Electroweak Evolution Equations

Denis Comelli, Paolo Ciafaloni

arxiv:hep-ph/0505047 v1 · 2005-05-06 · 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{YPD2E4VPBPMJQQJGQYEC5UX76F}

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

Weak bosons as partons below 10 TeV partonic center-of-momentum

Receipt and verification

First computed	2026-07-04T16:55:40.997386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c7a272af0bd898412686082ed2fff16b1fae200216183078cf43e979083292

Aliases

arxiv: hep-ph/0505047 · arxiv_version: hep-ph/0505047v1 · doi: 10.48550/arxiv.hep-ph/0505047 · pith_short_12: YPD2E4VPBPMJ · pith_short_16: YPD2E4VPBPMJQQJG · pith_short_8: YPD2E4VP

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/YPD2E4VPBPMJQQJGQYEC5UX76F \
  | 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: c3c7a272af0bd898412686082ed2fff16b1fae200216183078cf43e979083292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df4981d5f224f22e85244bc685a3858d0cecf0b6e850688611d543dcdc9223c5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-05-06T16:02:35Z",
    "title_canon_sha256": "773c73eea8606db8aa7d1fad982febc0ca426768ad036e0fd58fe9f2c6103125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0505047",
    "kind": "arxiv",
    "version": 1
  }
}