Pith Number

pith:7O2NUHOS

pith:2002:7O2NUHOSKH6KDWLUZNTOING3B3

not attested not anchored not stored refs pending

Rings of global sections in two-dimensional schemes

Holger Brenner

arxiv:math/0209369 v1 · 2002-09-26 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7O2NUHOSKH6KDWLUZNTOING3B3}

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	2026-05-18T02:35:38.592237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbb4da1dd251fca1d974cb66e434db0ee61a1189706cd01a056dcb1cfdc6599e

Aliases

arxiv: math/0209369 · arxiv_version: math/0209369v1 · doi: 10.48550/arxiv.math/0209369 · pith_short_12: 7O2NUHOSKH6K · pith_short_16: 7O2NUHOSKH6KDWLU · pith_short_8: 7O2NUHOS

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/7O2NUHOSKH6KDWLUZNTOING3B3 \
  | 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: fbb4da1dd251fca1d974cb66e434db0ee61a1189706cd01a056dcb1cfdc6599e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83a5396af47c770eb837f05e114f91c766cb6f35b660915641d7fa2852fdf4aa",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2002-09-26T14:45:46Z",
    "title_canon_sha256": "4f8317dcca40998bc8f4441b1ee09777ea08502e3855db3e88a7c1c03e4b15b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209369",
    "kind": "arxiv",
    "version": 1
  }
}