Pith Number

pith:4QYJ7ZEX

pith:2013:4QYJ7ZEXUJMOHDTMEDMNUV4XZU

not attested not anchored not stored refs pending

The Two-Loop Infrared Structure of Amplitudes with Mixed Gauge Groups

William B. Kilgore

arxiv:1308.1055 v1 · 2013-08-05 · 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{4QYJ7ZEXUJMOHDTMEDMNUV4XZU}

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	2026-05-18T01:48:23.639212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4309fe497a258e38e6c20d8da5797cd194f969d617967857fe27ec35f59c9cd

Aliases

arxiv: 1308.1055 · arxiv_version: 1308.1055v1 · doi: 10.48550/arxiv.1308.1055 · pith_short_12: 4QYJ7ZEXUJMO · pith_short_16: 4QYJ7ZEXUJMOHDTM · pith_short_8: 4QYJ7ZEX

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/4QYJ7ZEXUJMOHDTMEDMNUV4XZU \
  | 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: e4309fe497a258e38e6c20d8da5797cd194f969d617967857fe27ec35f59c9cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "299f7cbae9f7ff5d42e989a174edd1af7476e275755caec270c4c4c1748aaaf1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-08-05T18:19:42Z",
    "title_canon_sha256": "abfcc26bed6c22b417aca88e8a660f12191817c4e256d46a78090742951ab173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1055",
    "kind": "arxiv",
    "version": 1
  }
}