Pith Number

pith:C3WSMWDJ

pith:2017:C3WSMWDJ4ZJQP2YNFZPXYFCCDI

not attested not anchored not stored refs pending

The associated graded module of the test module filtration

Axel St\"abler

arxiv:1703.07391 v3 · 2017-03-21 · math.AG · 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{C3WSMWDJ4ZJQP2YNFZPXYFCCDI}

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	2026-05-17T23:45:24.483445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16ed265869e65307eb0d2e5f7c14421a3201dc0bdfe1ed2c2e699496bf361edc

Aliases

arxiv: 1703.07391 · arxiv_version: 1703.07391v3 · doi: 10.48550/arxiv.1703.07391 · pith_short_12: C3WSMWDJ4ZJQ · pith_short_16: C3WSMWDJ4ZJQP2YN · pith_short_8: C3WSMWDJ

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/C3WSMWDJ4ZJQP2YNFZPXYFCCDI \
  | 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: 16ed265869e65307eb0d2e5f7c14421a3201dc0bdfe1ed2c2e699496bf361edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d8aead8357c590c389218620d666aa72c95d5135cff283e64d074d85bfa467c",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-21T19:04:38Z",
    "title_canon_sha256": "fcdc5c4e919c7610646b4e11766bcd53fe229b16f58947a454d7ef6d65b359c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07391",
    "kind": "arxiv",
    "version": 3
  }
}