Pith Number

pith:5TAB2O4W

pith:2009:5TAB2O4WZ67RZYTN7EKEZVBXZF

not attested not anchored not stored refs pending

Dirac structures and Dixmier-Douady bundles

A. Alekseev, E. Meinrenken

arxiv:0907.1257 v1 · 2009-07-07 · 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{5TAB2O4WZ67RZYTN7EKEZVBXZF}

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	2026-05-18T03:05:36.024210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecc01d3b96cfbf1ce26df9144cd437c9685b7ef2d8facbab77803081b36e1a35

Aliases

arxiv: 0907.1257 · arxiv_version: 0907.1257v1 · doi: 10.48550/arxiv.0907.1257 · pith_short_12: 5TAB2O4WZ67R · pith_short_16: 5TAB2O4WZ67RZYTN · pith_short_8: 5TAB2O4W

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/5TAB2O4WZ67RZYTN7EKEZVBXZF \
  | 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: ecc01d3b96cfbf1ce26df9144cd437c9685b7ef2d8facbab77803081b36e1a35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "769c61e7eb4ff8e310ea192b009669e2832b197b6a74a8ee1cdb080b4afd9b18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-07-07T16:55:37Z",
    "title_canon_sha256": "7ad2bdce227d7148a5c9d7c82db2606f4c24e4c28796446b19c40af3cea2c361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1257",
    "kind": "arxiv",
    "version": 1
  }
}