Pith Number

pith:ZYDGEEND

pith:2012:ZYDGEENDN4SWZ4FLGUARO3CUB4

not attested not anchored not stored refs pending

Syzygies and tensor product of modules

Greg Piepmeyer, Olgur Celikbas

arxiv:1210.4767 v2 · 2012-10-17 · 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{ZYDGEENDN4SWZ4FLGUARO3CUB4}

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	2026-05-18T00:55:17.989431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce066211a36f256cf0ab3501176c540f0baed1e44ab2aeeb2dd18c3dd628de9e

Aliases

arxiv: 1210.4767 · arxiv_version: 1210.4767v2 · doi: 10.48550/arxiv.1210.4767 · pith_short_12: ZYDGEENDN4SW · pith_short_16: ZYDGEENDN4SWZ4FL · pith_short_8: ZYDGEEND

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/ZYDGEENDN4SWZ4FLGUARO3CUB4 \
  | 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: ce066211a36f256cf0ab3501176c540f0baed1e44ab2aeeb2dd18c3dd628de9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0394b2e11e62aee691f16a36ae672cdc45491e623b961cd6cf78983770959648",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-10-17T15:23:39Z",
    "title_canon_sha256": "d1ac8afd60b1989ce93553d9a6142227c2fc1b5611fe2b0b78a85cd818930a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4767",
    "kind": "arxiv",
    "version": 2
  }
}