Pith Number

pith:CDY64CZS

pith:2011:CDY64CZSHTX4SUMWKUMJWGPYRD

not attested not anchored not stored refs pending

Maximal exact structures on additive categories revisited

Septimiu Crivei

arxiv:1106.1606 v1 · 2011-06-08 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDY64CZSHTX4SUMWKUMJWGPYRD}

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	2026-05-18T04:20:22.678801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10f1ee0b323cefc9519655189b19f888ecd4b8fa7c0d432faed13f67d6972756

Aliases

arxiv: 1106.1606 · arxiv_version: 1106.1606v1 · doi: 10.48550/arxiv.1106.1606 · pith_short_12: CDY64CZSHTX4 · pith_short_16: CDY64CZSHTX4SUMW · pith_short_8: CDY64CZS

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/CDY64CZSHTX4SUMWKUMJWGPYRD \
  | 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: 10f1ee0b323cefc9519655189b19f888ecd4b8fa7c0d432faed13f67d6972756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1faa98ccd08e74982dc0855aa6d452a67f954f2db24fe173b07b79d1dffe3680",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-06-08T17:45:25Z",
    "title_canon_sha256": "60468be515394b036742b70ff4a4e3c9e0de36e7d8eab2d582e641067e34e7e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1606",
    "kind": "arxiv",
    "version": 1
  }
}