Pith Number

pith:2O2CXUHJ

pith:2014:2O2CXUHJSNSOEQMWUWLY5L34LS

not attested not anchored not stored refs pending

A characterization of fullness of continuous cores of type III$_1$ free product factors

Reiji Tomatsu, Yoshimichi Ueda

arxiv:1412.2418 v2 · 2014-12-08 · 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{2O2CXUHJSNSOEQMWUWLY5L34LS}

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	2026-05-17T23:45:53.825870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3b42bd0e99364e24196a5978eaf7c5c9cbe040ecea125fcfc402e10cc378e08

Aliases

arxiv: 1412.2418 · arxiv_version: 1412.2418v2 · doi: 10.48550/arxiv.1412.2418 · pith_short_12: 2O2CXUHJSNSO · pith_short_16: 2O2CXUHJSNSOEQMW · pith_short_8: 2O2CXUHJ

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/2O2CXUHJSNSOEQMWUWLY5L34LS \
  | 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: d3b42bd0e99364e24196a5978eaf7c5c9cbe040ecea125fcfc402e10cc378e08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5537701bb89d7cdcaa8b56faaff44e8eddebd3be41ff804257b68fb59d0cf642",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-12-08T00:27:54Z",
    "title_canon_sha256": "3db020543ebf59fdebc6c1d8adc8ec2a9da52832531da5b728c0a28aaab5c2f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2418",
    "kind": "arxiv",
    "version": 2
  }
}