Pith Number

pith:V3VIIQW3

pith:2012:V3VIIQW3NGWRGI6PZU35JGJUM4

not attested not anchored not stored refs pending

A Sheaf of von Neumann Algebras and Its Geometry

Leszek Pysiak, Michael Heller, Micha{\l} Eckstein, Wies{\l}aw Sasin

arxiv:1207.0601 v3 · 2012-07-03 · math-ph · 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{V3VIIQW3NGWRGI6PZU35JGJUM4}

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	2026-05-18T03:37:08.444076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeea8442db69ad1323cfcd37d49934670b94fad71146f8e0a2867c17ef23bb62

Aliases

arxiv: 1207.0601 · arxiv_version: 1207.0601v3 · doi: 10.48550/arxiv.1207.0601 · pith_short_12: V3VIIQW3NGWR · pith_short_16: V3VIIQW3NGWRGI6P · pith_short_8: V3VIIQW3

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/V3VIIQW3NGWRGI6PZU35JGJUM4 \
  | 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: aeea8442db69ad1323cfcd37d49934670b94fad71146f8e0a2867c17ef23bb62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f18f2e77370d8f5318337135d09ea3bdd379976bbb82c41427a1f8d013e7d75",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-03T08:10:04Z",
    "title_canon_sha256": "d62b5c303a3d73eac8576247b1bea56e96c9423cad832b37b01c342d4d54b1c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0601",
    "kind": "arxiv",
    "version": 3
  }
}