Pith Number

pith:NQR3X6IM

pith:2012:NQR3X6IMB5QWBAAV2CTZUKJJXQ

not attested not anchored not stored refs pending

Multiplicative Dirac structures

Cristian Ortiz

arxiv:1212.0176 v1 · 2012-12-02 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQR3X6IMB5QWBAAV2CTZUKJJXQ}

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	2026-05-18T01:22:25.911698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c23bbf90c0f61608015d0a79a2929bc26a7ba2403b17a97e79bbad7ff6dcb25

Aliases

arxiv: 1212.0176 · arxiv_version: 1212.0176v1 · doi: 10.48550/arxiv.1212.0176 · pith_short_12: NQR3X6IMB5QW · pith_short_16: NQR3X6IMB5QWBAAV · pith_short_8: NQR3X6IM

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/NQR3X6IMB5QWBAAV2CTZUKJJXQ \
  | 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: 6c23bbf90c0f61608015d0a79a2929bc26a7ba2403b17a97e79bbad7ff6dcb25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "192115fdcad8b79da469865f7e83d49751f2b4a36179e6c3af8c413a4c2b1275",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-02T02:39:21Z",
    "title_canon_sha256": "df256629f2a041a401945c6275eb41dc0438cfbd5fe1dcd8a20a472f3811765d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0176",
    "kind": "arxiv",
    "version": 1
  }
}