Pith Number

pith:CRKGPWFB

pith:2006:CRKGPWFB6ZK44I4LO4ZIJVBQGX

not attested not anchored not stored refs pending

Probability distribution of the index in gauge theory on 2d non-commutative geometry

Hajime Aoki (Saga Univ.), Jun Nishimura (KEK, Kek), SOKENDAI), Yoshiaki Susaki (Univ. of Tsukuba

arxiv:hep-th/0604093 v2 · 2006-04-13 · hep-th · 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{CRKGPWFB6ZK44I4LO4ZIJVBQGX}

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	2026-05-18T04:17:54.670773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145467d8a1f655ce238b773284d43035ed99a9252ff86b8f47f0ebb41a88e6eb

Aliases

arxiv: hep-th/0604093 · arxiv_version: hep-th/0604093v2 · doi: 10.48550/arxiv.hep-th/0604093 · pith_short_12: CRKGPWFB6ZK4 · pith_short_16: CRKGPWFB6ZK44I4L · pith_short_8: CRKGPWFB

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/CRKGPWFB6ZK44I4LO4ZIJVBQGX \
  | 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: 145467d8a1f655ce238b773284d43035ed99a9252ff86b8f47f0ebb41a88e6eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98558ad14ef348a6cee40613ab01a45abba9379ba26dc6d91d6f687b4d0a7a38",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-04-13T08:21:05Z",
    "title_canon_sha256": "5eb0c3b6b57def20c8eee6dbbe2d72b04c24fe1d7aecb2bc03e8af1f76bc382d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0604093",
    "kind": "arxiv",
    "version": 2
  }
}