Pith Number

pith:U4OFSLHH

pith:2005:U4OFSLHH77IYPDTG2ZSHHHDCKM

not attested not anchored not stored refs pending

Loop Equations in Abelian Gauge Theories

Cayetano Di Bartolo, Francisco Pe\~na, Lorenzo Leal

arxiv:hep-th/0502230 v2 · 2005-02-25 · 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{U4OFSLHH77IYPDTG2ZSHHHDCKM}

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	2026-05-18T01:08:53.419302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a71c592ce7ffd1878e66d664739c62533a24cf0754728265aae2f257528e1533

Aliases

arxiv: hep-th/0502230 · arxiv_version: hep-th/0502230v2 · doi: 10.48550/arxiv.hep-th/0502230 · pith_short_12: U4OFSLHH77IY · pith_short_16: U4OFSLHH77IYPDTG · pith_short_8: U4OFSLHH

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/U4OFSLHH77IYPDTG2ZSHHHDCKM \
  | 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: a71c592ce7ffd1878e66d664739c62533a24cf0754728265aae2f257528e1533

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b0c062cabeaf144015ab0baf55718817683fd8e5d5cb4489f2f23faef726ebe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-02-25T23:02:08Z",
    "title_canon_sha256": "24873f7cccceadf0c529bef12ec0492bee0ea1e7555753b86e32ee7bdb5b425b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0502230",
    "kind": "arxiv",
    "version": 2
  }
}