Pith Number

pith:UYGBD634

pith:2009:UYGBD634YHGFGERBEDACTICHV5

not attested not anchored not stored refs pending

Cartier Modules: finiteness results

Gebhard B\"ockle, Manuel Blickle

arxiv:0909.2531 v1 · 2009-09-14 · math.AG · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UYGBD634YHGFGERBEDACTICHV5}

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	2026-05-18T03:15:19.077278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a60c11fb7cc1cc53122120c029a047af435993776529db1f748fab17371b2b30

Aliases

arxiv: 0909.2531 · arxiv_version: 0909.2531v1 · doi: 10.48550/arxiv.0909.2531 · pith_short_12: UYGBD634YHGF · pith_short_16: UYGBD634YHGFGERB · pith_short_8: UYGBD634

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/UYGBD634YHGFGERBEDACTICHV5 \
  | 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: a60c11fb7cc1cc53122120c029a047af435993776529db1f748fab17371b2b30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f97f01e39e9bc34f02d1cd9f44dfbff99421afd2cb3d06d7271297642f9ad724",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-14T12:31:29Z",
    "title_canon_sha256": "1cdf0be0917d1ed4075fc3487806c0b112808dd6bf6e2eba1a5047e6c15e94e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2531",
    "kind": "arxiv",
    "version": 1
  }
}