Pith Number

pith:5XM5W3F3

pith:1999:5XM5W3F365OLODGZQ7OZMQ36HB

not attested not anchored not stored refs pending

The Fermion Doubling Problem and Noncommutative Geometry

A. P. Balachandran, B. Ydri, T.R.Govindarajan

arxiv:hep-th/9911087 v2 · 1999-11-12 · hep-th · gr-qc · 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{5XM5W3F365OLODGZQ7OZMQ36HB}

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	2026-07-04T16:15:01.718587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edd9db6cbbf75cb70cd987dd96437e3853089622fffc0378ad9513615ffc25f4

Aliases

arxiv: hep-th/9911087 · arxiv_version: hep-th/9911087v2 · doi: 10.48550/arxiv.hep-th/9911087 · pith_short_12: 5XM5W3F365OL · pith_short_16: 5XM5W3F365OLODGZ · pith_short_8: 5XM5W3F3

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/5XM5W3F365OLODGZQ7OZMQ36HB \
  | 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: edd9db6cbbf75cb70cd987dd96437e3853089622fffc0378ad9513615ffc25f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71f4e7c5e93069879832752a32f96601918b085383a4bf80a5f76f4691716377",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-11-12T07:05:00Z",
    "title_canon_sha256": "41562f49e8ae641c888163d3b0e1820c9ba3dd06e01c8fa998803f3e357ffdf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9911087",
    "kind": "arxiv",
    "version": 2
  }
}