Pith Number

pith:ZVMA6SUZ

pith:2009:ZVMA6SUZMF6VJ5CFFX6MOYYN6Y

not attested not anchored not stored refs pending

Symplectic mapping class groups of some Stein and rational surfaces

Jonathan David Evans

arxiv:0909.5622 v4 · 2009-09-30 · math.SG · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVMA6SUZMF6VJ5CFFX6MOYYN6Y}

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	2026-05-18T02:52:13.066056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd580f4a99617d54f4452dfcc7630df6304424b6b1e43528526664f92241b019

Aliases

arxiv: 0909.5622 · arxiv_version: 0909.5622v4 · doi: 10.48550/arxiv.0909.5622 · pith_short_12: ZVMA6SUZMF6V · pith_short_16: ZVMA6SUZMF6VJ5CF · pith_short_8: ZVMA6SUZ

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/ZVMA6SUZMF6VJ5CFFX6MOYYN6Y \
  | 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: cd580f4a99617d54f4452dfcc7630df6304424b6b1e43528526664f92241b019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa5274f64c341f88c84f304d7326f76210e9a706a6eb472bc5f20a5a12ab77dc",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-09-30T15:07:17Z",
    "title_canon_sha256": "8914af040e871369c19478d33a13e8049abe739d3fa28f7188b98057740875ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5622",
    "kind": "arxiv",
    "version": 4
  }
}