Pith Number

pith:ZPWY67MF

pith:2000:ZPWY67MFGMJWSHP4VHDK55QT3O

not attested not anchored not stored refs pending

Affine surfaces with $AK(S)=\Bbb C.$

Leonid Makar-Limanov, Tatiana Bandman

arxiv:math/0007022 v1 · 2000-07-05 · 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{ZPWY67MFGMJWSHP4VHDK55QT3O}

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	2026-05-18T01:05:38.477200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbed8f7d853313691dfca9c6aef613db8dbc8127984679ad8986e23c6cb0a44f

Aliases

arxiv: math/0007022 · arxiv_version: math/0007022v1 · doi: 10.48550/arxiv.math/0007022 · pith_short_12: ZPWY67MFGMJW · pith_short_16: ZPWY67MFGMJWSHP4 · pith_short_8: ZPWY67MF

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/ZPWY67MFGMJWSHP4VHDK55QT3O \
  | 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: cbed8f7d853313691dfca9c6aef613db8dbc8127984679ad8986e23c6cb0a44f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "facabeb06873cefd537184313e7f886bbb07ca2dcf327fff79adf81069571a7b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-07-05T11:51:27Z",
    "title_canon_sha256": "ce041f846231d915d162c6380770800644d6262fd4b21e66611d252ba4ffc670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007022",
    "kind": "arxiv",
    "version": 1
  }
}