Pith Number

pith:5OL64MDH

pith:2016:5OL64MDHTGMWOSQW2J7SEONBAL

not attested not anchored not stored refs pending

Rigged modules I: modules over dual operator algebras and the Picard group

David P. Blecher, Upasana Kashyap

arxiv:1608.00178 v2 · 2016-07-31 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OL64MDHTGMWOSQW2J7SEONBAL}

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	2026-05-18T00:51:57.710367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb97ee30679999674a16d27f2239a102d47c17341a50821d5242ed987682b2dd

Aliases

arxiv: 1608.00178 · arxiv_version: 1608.00178v2 · doi: 10.48550/arxiv.1608.00178 · pith_short_12: 5OL64MDHTGMW · pith_short_16: 5OL64MDHTGMWOSQW · pith_short_8: 5OL64MDH

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/5OL64MDHTGMWOSQW2J7SEONBAL \
  | 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: eb97ee30679999674a16d27f2239a102d47c17341a50821d5242ed987682b2dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870afdb1d6d80c682619ad350776786f55aeaa8fbce7cf254ef654f9cd3b610f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-07-31T03:00:06Z",
    "title_canon_sha256": "1714e7cca253e78899f5712495c947b2a1babdce006bfb85fd6c8b019fee742c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00178",
    "kind": "arxiv",
    "version": 2
  }
}