Pith Number

pith:4REHB7TC

pith:2018:4REHB7TCTIEU7D2QCZMQTJEBFL

not attested not anchored not stored refs pending

Spin Geometry and Some Applications

\"Umit Ertem

arxiv:1801.06988 v2 · 2018-01-22 · math-ph · hep-th · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4REHB7TCTIEU7D2QCZMQTJEBFL}

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	2026-05-18T00:24:59.123269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e44870fe629a094f8f50165909a4812adbaa91a2551e4fc02dc058072d5e82e1

Aliases

arxiv: 1801.06988 · arxiv_version: 1801.06988v2 · doi: 10.48550/arxiv.1801.06988 · pith_short_12: 4REHB7TCTIEU · pith_short_16: 4REHB7TCTIEU7D2Q · pith_short_8: 4REHB7TC

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/4REHB7TCTIEU7D2QCZMQTJEBFL \
  | 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: e44870fe629a094f8f50165909a4812adbaa91a2551e4fc02dc058072d5e82e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c819e511627d4140f55c0f65d39b64ccd0fbc3621da917280e314fb4204ce3ef",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-01-22T08:26:02Z",
    "title_canon_sha256": "21a7b1c965774a019d36944e82256b70b019ffc57e758524cb5b2ee0868e0716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06988",
    "kind": "arxiv",
    "version": 2
  }
}