Pith Number

pith:S25I3YYJ

pith:2005:S25I3YYJ7DRY35J32KYDZA3VTM

not attested not anchored not stored refs pending

Pure subrings of regular rings are pseudo-rational

Hans Schoutens

arxiv:math/0507304 v1 · 2005-07-15 · 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{S25I3YYJ7DRY35J32KYDZA3VTM}

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	2026-05-18T03:12:09.460431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96ba8de309f8e38df53bd2b03c83759b0eff2d71c8ac193fdb8ad8f2fed38baa

Aliases

arxiv: math/0507304 · arxiv_version: math/0507304v1 · doi: 10.48550/arxiv.math/0507304 · pith_short_12: S25I3YYJ7DRY · pith_short_16: S25I3YYJ7DRY35J3 · pith_short_8: S25I3YYJ

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/S25I3YYJ7DRY35J32KYDZA3VTM \
  | 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: 96ba8de309f8e38df53bd2b03c83759b0eff2d71c8ac193fdb8ad8f2fed38baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68d4bd7b8c826876d9f78c723294dbd1640f5f6721c9c5dfe31ab440af9af223",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2005-07-15T04:51:46Z",
    "title_canon_sha256": "18368839146d04f11120a6dc90ebaa0a4e3b526826cc8286d9af839391d804a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507304",
    "kind": "arxiv",
    "version": 1
  }
}