Pith Number

pith:4SIRQXBC

pith:1997:4SIRQXBCOBY5R2FKMMW2Z5WYR4

not attested not anchored not stored refs pending

The Dirac Operator over Abelian Finite Groups

Brazil), Campinas, Jayme Vaz, Jr. (Syracuse, USA

arxiv:hep-th/9706189 v1 · 1997-06-26 · 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{4SIRQXBCOBY5R2FKMMW2Z5WYR4}

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	2026-05-18T03:47:10.711875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e491185c227071d8e8aa632dacf6d88f305529a8812e54be3873bc973e0e8f5c

Aliases

arxiv: hep-th/9706189 · arxiv_version: hep-th/9706189v1 · doi: 10.48550/arxiv.hep-th/9706189 · pith_short_12: 4SIRQXBCOBY5 · pith_short_16: 4SIRQXBCOBY5R2FK · pith_short_8: 4SIRQXBC

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/4SIRQXBCOBY5R2FKMMW2Z5WYR4 \
  | 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: e491185c227071d8e8aa632dacf6d88f305529a8812e54be3873bc973e0e8f5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f65e288b1f30ca8d160e99eacba119fcd73ed7953d04ea8d0f370d84bd03ff7",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1997-06-26T13:53:34Z",
    "title_canon_sha256": "7a302fe9643e46b6d72a1ad69f25f1910b315a9689808d3a783f22a28e99ed3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9706189",
    "kind": "arxiv",
    "version": 1
  }
}