Pith Number

pith:4Q25DVDF

pith:2001:4Q25DVDFJ4WEDD4JFQI3RB7EJD

not attested not anchored not stored refs pending

Generalized symplectic rational blowdowns

Margaret Symington

arxiv:math/0108075 v2 · 2001-08-10 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Q25DVDFJ4WEDD4JFQI3RB7EJD}

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	2026-05-18T02:41:33.243598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e435d1d4654f2c418f892c11b887e448d13d09393db55fbbbe7d582b44340a06

Aliases

arxiv: math/0108075 · arxiv_version: math/0108075v2 · doi: 10.48550/arxiv.math/0108075 · pith_short_12: 4Q25DVDFJ4WE · pith_short_16: 4Q25DVDFJ4WEDD4J · pith_short_8: 4Q25DVDF

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/4Q25DVDFJ4WEDD4JFQI3RB7EJD \
  | 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: e435d1d4654f2c418f892c11b887e448d13d09393db55fbbbe7d582b44340a06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41cc71bca1d007bba2511c4d8f67e2bf9cd6afc24b62b4313f62266f178b331c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2001-08-10T16:37:11Z",
    "title_canon_sha256": "ca161505a1b925726f11d7055475a122028578e9829b6f89f0de688564bcb453"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0108075",
    "kind": "arxiv",
    "version": 2
  }
}