Pith Number

pith:PAWELHFC

pith:2015:PAWELHFCQ6WSTH7XTNIGHLPI37

not attested not anchored not stored refs pending

Extension closedness of syzygies and local Gorensteinness of commutative rings

Ryo Takahashi, Shiro Goto

arxiv:1502.06653 v1 · 2015-02-23 · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAWELHFCQ6WSTH7XTNIGHLPI37}

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	2026-05-18T02:26:29.526409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

782c459ca287ad299ff79b5063ade8dfd820b8766aad0e269b75fe77da6739a8

Aliases

arxiv: 1502.06653 · arxiv_version: 1502.06653v1 · doi: 10.48550/arxiv.1502.06653 · pith_short_12: PAWELHFCQ6WS · pith_short_16: PAWELHFCQ6WSTH7X · pith_short_8: PAWELHFC

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/PAWELHFCQ6WSTH7XTNIGHLPI37 \
  | 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: 782c459ca287ad299ff79b5063ade8dfd820b8766aad0e269b75fe77da6739a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acb8f75255e0faac605410234eb9c42b4973bdae4d99d7cf2148664d6890c116",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-02-23T23:39:47Z",
    "title_canon_sha256": "bb926ca9eee7af87aa2eb32f2818ea6d61874422d5274daab71994c72e24c217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06653",
    "kind": "arxiv",
    "version": 1
  }
}