Pith Number

pith:KMTKA2TU

pith:2014:KMTKA2TU6XQAATAYBKY6GSWCOI

not attested not anchored not stored refs pending

On Cohomology for Product Systems

Jeong Hee Hong, Mi Jung Son, Wojciech Szymanski

arxiv:1407.7264 v1 · 2014-07-27 · 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{KMTKA2TU6XQAATAYBKY6GSWCOI}

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	2026-05-18T00:47:16.016469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5326a06a74f5e0004c180ab1e34ac27228b6c2efa2bac7edbbd63f7be2bd9d43

Aliases

arxiv: 1407.7264 · arxiv_version: 1407.7264v1 · doi: 10.48550/arxiv.1407.7264 · pith_short_12: KMTKA2TU6XQA · pith_short_16: KMTKA2TU6XQAATAY · pith_short_8: KMTKA2TU

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/KMTKA2TU6XQAATAYBKY6GSWCOI \
  | 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: 5326a06a74f5e0004c180ab1e34ac27228b6c2efa2bac7edbbd63f7be2bd9d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9055ab5be64b9fd8846c8c01a9fbee67d138fa0af51de7bdf3572e431a53d56d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-07-27T17:44:36Z",
    "title_canon_sha256": "cd8d3a25cb8d1465ec2ee9f53e9ede69e5de283164d1a88511ad9eab1b6bcc5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7264",
    "kind": "arxiv",
    "version": 1
  }
}