Pith Number

pith:PPQJRTKR

pith:2013:PPQJRTKRMQWAZ3F3BKGS4QJ6HA

not attested not anchored not stored refs pending

CAR flows on type III factors and its extendability

Panchugopal Bikram

arxiv:1304.4341 v2 · 2013-04-16 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPQJRTKRMQWAZ3F3BKGS4QJ6HA}

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	2026-05-18T03:00:26.381118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be098cd51642c0cecbb0a8d2e413e381f9a2bd9d8dd66bce5e182a7c95ab84a

Aliases

arxiv: 1304.4341 · arxiv_version: 1304.4341v2 · doi: 10.48550/arxiv.1304.4341 · pith_short_12: PPQJRTKRMQWA · pith_short_16: PPQJRTKRMQWAZ3F3 · pith_short_8: PPQJRTKR

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/PPQJRTKRMQWAZ3F3BKGS4QJ6HA \
  | 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: 7be098cd51642c0cecbb0a8d2e413e381f9a2bd9d8dd66bce5e182a7c95ab84a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eee1b9d6c7ae2e06ba69745222dac32a8bb42ec99902291c01ea35906f4f2fd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-04-16T06:36:57Z",
    "title_canon_sha256": "c756c2d12fec3e9436657d8fb314ac37e46c5c4f9255f1c214da0d596700db85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4341",
    "kind": "arxiv",
    "version": 2
  }
}