Pith Number

pith:SOAKHILB

pith:2013:SOAKHILB5RXHHAKC634RIBWRHM

not attested not anchored not stored refs pending

Super-stretched and graded countable Cohen-Macaulay type

Branden Stone

arxiv:1301.3593 v2 · 2013-01-16 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOAKHILB5RXHHAKC634RIBWRHM}

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	2026-05-18T03:17:46.704212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9380a3a161ec6e738142f6f91406d13b3ecf39ae4ad03dcaffc38d56209e1a6c

Aliases

arxiv: 1301.3593 · arxiv_version: 1301.3593v2 · doi: 10.48550/arxiv.1301.3593 · pith_short_12: SOAKHILB5RXH · pith_short_16: SOAKHILB5RXHHAKC · pith_short_8: SOAKHILB

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/SOAKHILB5RXHHAKC634RIBWRHM \
  | 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: 9380a3a161ec6e738142f6f91406d13b3ecf39ae4ad03dcaffc38d56209e1a6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6431819de6fad32465d3be66535f414e31cb737cd78339ccd4057739db33358d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-01-16T05:44:18Z",
    "title_canon_sha256": "ce090d3088b8e91dfa0e9635fb560241c48539655d13498610d3b8f472f75f1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3593",
    "kind": "arxiv",
    "version": 2
  }
}