Pith Number

pith:TCH5N77C

pith:2018:TCH5N77CXOT6YZOES5Z7QVO2ZG

not attested not anchored not stored refs pending

Linkage and Intermediate C-Gorenstein Dimensions

Alexander York, Joseph P. Brennan

arxiv:1810.01399 v2 · 2018-10-02 · math.AC · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCH5N77CXOT6YZOES5Z7QVO2ZG}

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	2026-05-18T00:03:55.206516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

988fd6ffe2bba7ec65c49773f855dac9ae54d63f36949b8435d50ac26c7f5dfc

Aliases

arxiv: 1810.01399 · arxiv_version: 1810.01399v2 · doi: 10.48550/arxiv.1810.01399 · pith_short_12: TCH5N77CXOT6 · pith_short_16: TCH5N77CXOT6YZOE · pith_short_8: TCH5N77C

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/TCH5N77CXOT6YZOES5Z7QVO2ZG \
  | 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: 988fd6ffe2bba7ec65c49773f855dac9ae54d63f36949b8435d50ac26c7f5dfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48f6f0650f6ecbcde84534a999c816a6820ddf9f8907cb138d7f623dea97f22e",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-10-02T17:46:53Z",
    "title_canon_sha256": "a2e5ad83e263fcec3f1059547e8f7a846308cda5489a2b2ad92fd766147f22d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01399",
    "kind": "arxiv",
    "version": 2
  }
}