Pith Number

pith:V6XQNR5M

pith:2000:V6XQNR5MIPMJNKYQ3BNGBVTRNO

not attested not anchored not stored refs pending

Dependence on the spin structure of the Dirac spectrum

Christian Baer

arxiv:math/0007131 v1 · 2000-07-21 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6XQNR5MIPMJNKYQ3BNGBVTRNO}

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.

Cited by

1 paper in Pith

Finite spectral triples for the fuzzy torus

Receipt and verification

First computed	2026-07-04T15:00:02.640576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afaf06c7ac43d896ab10d85a60d6716b8ced2ce2322bc060e42a71a3e1b51b23

Aliases

arxiv: math/0007131 · arxiv_version: math/0007131v1 · doi: 10.48550/arxiv.math/0007131 · pith_short_12: V6XQNR5MIPMJ · pith_short_16: V6XQNR5MIPMJNKYQ · pith_short_8: V6XQNR5M

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/V6XQNR5MIPMJNKYQ3BNGBVTRNO \
  | 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: afaf06c7ac43d896ab10d85a60d6716b8ced2ce2322bc060e42a71a3e1b51b23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c2d27fe13864d8d7bb2c7f5468e6fd0071f552d9315369aae94d4f1cb927f40",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2000-07-21T14:05:15Z",
    "title_canon_sha256": "1aa2a49cfc78ee0e0323c1a2fbc4d572013f19f74f0b4e7f0f048c929bb2e982"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007131",
    "kind": "arxiv",
    "version": 1
  }
}