Pith Number

pith:EZWMWZ5A

pith:2000:EZWMWZ5AUQM7PLCRVRXBGNWCVR

not attested not anchored not stored refs pending

Automorphisms of Finite Order on Rational Surfaces

D. -Q. Zhang

arxiv:math/0009126 v1 · 2000-09-13 · 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{EZWMWZ5AUQM7PLCRVRXBGNWCVR}

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	2026-07-04T14:34:41.952508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

266ccb67a0a419f7ac51ac6e1336c2ac5f85770a153cf0db2a2c9519161bea9f

Aliases

arxiv: math/0009126 · arxiv_version: math/0009126v1 · doi: 10.48550/arxiv.math/0009126 · pith_short_12: EZWMWZ5AUQM7 · pith_short_16: EZWMWZ5AUQM7PLCR · pith_short_8: EZWMWZ5A

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/EZWMWZ5AUQM7PLCRVRXBGNWCVR \
  | 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: 266ccb67a0a419f7ac51ac6e1336c2ac5f85770a153cf0db2a2c9519161bea9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e1462ba5d547cffe6419269a27b37696887ca99b3ef9082405a76d231e24db",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-09-13T05:57:45Z",
    "title_canon_sha256": "8f21b7a16e1f0f9b54f37786241ec2427892b8dfbbc073f57f812f92e6013581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009126",
    "kind": "arxiv",
    "version": 1
  }
}