Pith Number

pith:QRZL7O2P

pith:2004:QRZL7O2PHWEA7S7VMGR3IYZIEH

not attested not anchored not stored refs pending

Projectively simple rings

D. Rogalski, J. J. Zhang, Z. Reichstein

arxiv:math/0401098 v2 · 2004-01-10 · math.RA · 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{QRZL7O2PHWEA7S7VMGR3IYZIEH}

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	2026-07-04T15:45:31.313644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8472bfbb4f3d880fcbf561a3b4632821c22329ce6f5cb19bf383b158c62eb1d8

Aliases

arxiv: math/0401098 · arxiv_version: math/0401098v2 · doi: 10.48550/arxiv.math/0401098 · pith_short_12: QRZL7O2PHWEA · pith_short_16: QRZL7O2PHWEA7S7V · pith_short_8: QRZL7O2P

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/QRZL7O2PHWEA7S7VMGR3IYZIEH \
  | 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: 8472bfbb4f3d880fcbf561a3b4632821c22329ce6f5cb19bf383b158c62eb1d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c277cca1bc12a91bae348ba26520b660c801137ec57a92d12a406e82b396d654",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2004-01-10T00:59:46Z",
    "title_canon_sha256": "c1f4e3b4ef46fe7da72ece2518231f81a2e336587751a2070a29126792082698"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401098",
    "kind": "arxiv",
    "version": 2
  }
}