Pith Number

pith:JJVD5YEW

pith:2013:JJVD5YEW46WQLLUU7O762CTSOE

not attested not anchored not stored refs pending

Homotopy invariance of higher K-theory for abelian categories

Akiyoshi Sannai, Satoshi Mochizuki

arxiv:1304.3784 v3 · 2013-04-13 · math.AG · math.AC · math.AT · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJVD5YEW46WQLLUU7O762CTSOE}

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	2026-05-18T02:31:27.573693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a6a3ee096e7ad05ae94fbbfed0a7271150971552e8aa7be4de3890e8e522089

Aliases

arxiv: 1304.3784 · arxiv_version: 1304.3784v3 · doi: 10.48550/arxiv.1304.3784 · pith_short_12: JJVD5YEW46WQ · pith_short_16: JJVD5YEW46WQLLUU · pith_short_8: JJVD5YEW

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/JJVD5YEW46WQLLUU7O762CTSOE \
  | 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: 4a6a3ee096e7ad05ae94fbbfed0a7271150971552e8aa7be4de3890e8e522089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4df60658c2bd95e7ade024a7f5065e929c7a19b9d95f9a1f39e419e04babe878",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT",
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-13T07:15:31Z",
    "title_canon_sha256": "636a3c141b8db255dbb0d0f2a2d647b4f44ddfe1e9301ac8a14671b7a65788e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3784",
    "kind": "arxiv",
    "version": 3
  }
}