Pith Number

pith:JGIAK2MA

pith:2005:JGIAK2MA7W4CM5HT3RP6OYB52L

not attested not anchored not stored refs pending

Renormalization of the Vector Current in QED

Aneesh V. Manohar, John C. Collins, Mark B. Wise

arxiv:hep-th/0512187 v2 · 2005-12-15 · hep-th · 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{JGIAK2MA7W4CM5HT3RP6OYB52L}

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

2 papers in Pith

Renormalisation

The Fate of Ultra-Collinear Modes in On-Shell Massive Sudakov Form Factors

Receipt and verification

First computed	2026-07-04T14:52:10.905813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4990056980fdb82674f3dc5fe7603dd2d7f2068ea60c9648bb9326ee7c366446

Aliases

arxiv: hep-th/0512187 · arxiv_version: hep-th/0512187v2 · doi: 10.48550/arxiv.hep-th/0512187 · pith_short_12: JGIAK2MA7W4C · pith_short_16: JGIAK2MA7W4CM5HT · pith_short_8: JGIAK2MA

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/JGIAK2MA7W4CM5HT3RP6OYB52L \
  | 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: 4990056980fdb82674f3dc5fe7603dd2d7f2068ea60c9648bb9326ee7c366446

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4148cead4b22b34801a2c36b8a700d5c475b2f4e33038fce569ba4ba9ce8b98",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-12-15T14:39:29Z",
    "title_canon_sha256": "52f8d505e273d95747b05a4e0738b1041461ec61b5542d5d97f128447e318ec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0512187",
    "kind": "arxiv",
    "version": 2
  }
}