Pith Number

pith:AYQTCO7G

pith:2017:AYQTCO7GYCXEDXD2ZT7Z43TQOD

not attested not anchored not stored refs pending

AC-Gorenstein rings and their stable module categories

James Gillespie

arxiv:1710.09899 v1 · 2017-10-26 · 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{AYQTCO7GYCXEDXD2ZT7Z43TQOD}

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	2026-05-18T00:31:55.232463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0621313be6c0ae41dc7accff9e6e7070e1e4a9c68adf885992bcec370d4d0e58

Aliases

arxiv: 1710.09899 · arxiv_version: 1710.09899v1 · doi: 10.48550/arxiv.1710.09899 · pith_short_12: AYQTCO7GYCXE · pith_short_16: AYQTCO7GYCXEDXD2 · pith_short_8: AYQTCO7G

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/AYQTCO7GYCXEDXD2ZT7Z43TQOD \
  | 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: 0621313be6c0ae41dc7accff9e6e7070e1e4a9c68adf885992bcec370d4d0e58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0113bc7f3d008bcb3e6cfa8121fdc6077aef38f507fa97bd8272b36a8507290",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-10-26T20:10:29Z",
    "title_canon_sha256": "4ec0727137b6b3f4467a2966e73c1a272c0044572c09b96bdf2140b13600ba74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09899",
    "kind": "arxiv",
    "version": 1
  }
}