Pith Number

pith:3QMW23LL

pith:2009:3QMW23LLH2QO3O6HDV6CI7H5AS

not attested not anchored not stored refs pending

Quaternionic structures

Jiri Vanzura, Martin Cadek, Michael Crabb

arxiv:0909.2409 v2 · 2009-09-13 · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QMW23LLH2QO3O6HDV6CI7H5AS}

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	2026-05-18T00:01:11.112603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc196d6d6b3ea0edbbc71d7c247cfd04831e05127b5945442c10a6794b7964ce

Aliases

arxiv: 0909.2409 · arxiv_version: 0909.2409v2 · doi: 10.48550/arxiv.0909.2409 · pith_short_12: 3QMW23LLH2QO · pith_short_16: 3QMW23LLH2QO3O6H · pith_short_8: 3QMW23LL

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/3QMW23LLH2QO3O6HDV6CI7H5AS \
  | 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: dc196d6d6b3ea0edbbc71d7c247cfd04831e05127b5945442c10a6794b7964ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35c05bbcd1b8934be84681969cda78ae6edd56ecb5268ce5fd98f09f8213f840",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-09-13T09:44:22Z",
    "title_canon_sha256": "d1ac71db7dc3c73e8442d747805f29684cb0841c4f0ed9f29164bf0811861386"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2409",
    "kind": "arxiv",
    "version": 2
  }
}