Pith Number

pith:PKCAOUSO

pith:2006:PKCAOUSOFE3PPBTRQPDPGXK7II

not attested not anchored not stored refs pending

The moduli space of commutative algebras of finite rank

Bjorn Poonen

arxiv:math/0608491 v2 · 2006-08-20 · 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{PKCAOUSOFE3PPBTRQPDPGXK7II}

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	2026-05-18T00:47:31.979308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a8407524e2936f7867183c6f35d5f42285d282bede4d610602e13eb3ad2074e

Aliases

arxiv: math/0608491 · arxiv_version: math/0608491v2 · doi: 10.48550/arxiv.math/0608491 · pith_short_12: PKCAOUSOFE3P · pith_short_16: PKCAOUSOFE3PPBTR · pith_short_8: PKCAOUSO

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/PKCAOUSOFE3PPBTRQPDPGXK7II \
  | 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: 7a8407524e2936f7867183c6f35d5f42285d282bede4d610602e13eb3ad2074e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "958b1f0b8ea2788fc631d3a85e80f04387d5d5ba3db9ff029e0bbc3f3a2f49cc",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-08-20T00:35:44Z",
    "title_canon_sha256": "33617dada7aeead7ab18449d674a4a570e4b2c367873e6f5f8bedbcb7125c456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608491",
    "kind": "arxiv",
    "version": 2
  }
}