Pith Number

pith:7VJULTEA

pith:2004:7VJULTEA7LAS2WBPTKWDRYUKTT

not attested not anchored not stored refs pending

Finite temperature phase transition in the 4d compact U(1) lattice gauge theory

Michele Vettorazzo, Philippe de Forcrand

arxiv:hep-lat/0409135 v2 · 2004-09-21 · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VJULTEA7LAS2WBPTKWDRYUKTT}

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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

On the equation of state of U(1) lattice gauge theory in three dimensions

Receipt and verification

First computed	2026-07-04T16:48:02.992066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5345cc80fac12d582f9aac38e28a9cea6360f23d1b6677f8391c3bc599069f

Aliases

arxiv: hep-lat/0409135 · arxiv_version: hep-lat/0409135v2 · doi: 10.48550/arxiv.hep-lat/0409135 · pith_short_12: 7VJULTEA7LAS · pith_short_16: 7VJULTEA7LAS2WBP · pith_short_8: 7VJULTEA

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/7VJULTEA7LAS2WBPTKWDRYUKTT \
  | 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: fd5345cc80fac12d582f9aac38e28a9cea6360f23d1b6677f8391c3bc599069f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54d4bfbd7c0217fd8c384dcb37558b8b781ebf6d169c8e472ba093136dd9d341",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "2004-09-21T16:03:09Z",
    "title_canon_sha256": "fe423ca00bc6f577cfdf29938e7418c35553eb47d07e94f3fe6f2a3602437c0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/0409135",
    "kind": "arxiv",
    "version": 2
  }
}