Pith Number

pith:HMV56QDC

pith:2013:HMV56QDCXHJRPOX36LRMSU6I37

not attested not anchored not stored refs pending

Non-connective K-theory of relative exact categories

Satoshi Mochizuki

arxiv:1303.4133 v1 · 2013-03-18 · math.AG · 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{HMV56QDCXHJRPOX36LRMSU6I37}

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	2026-05-18T03:30:39.672805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b2bdf4062b9d317bafbf2e2c953c8dfd405d22645c1b2fe7a6cd5993dba2d09

Aliases

arxiv: 1303.4133 · arxiv_version: 1303.4133v1 · doi: 10.48550/arxiv.1303.4133 · pith_short_12: HMV56QDCXHJR · pith_short_16: HMV56QDCXHJRPOX3 · pith_short_8: HMV56QDC

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/HMV56QDCXHJRPOX36LRMSU6I37 \
  | 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: 3b2bdf4062b9d317bafbf2e2c953c8dfd405d22645c1b2fe7a6cd5993dba2d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a9d81d83063b2889b68844cabbf640cbca7c0a00f1065df9f5924163d1653fb",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-18T01:44:11Z",
    "title_canon_sha256": "504d7b46b0a52a23cfe79d5d7d2be3df2c7c1b6798ed06f8e9717045d000f9cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4133",
    "kind": "arxiv",
    "version": 1
  }
}