Pith Number

pith:4CTUL7IF

pith:2009:4CTUL7IF4R6ULLN2GKN2EOPMPC

not attested not anchored not stored refs pending

Deformations of symplectic cohomology and exact Lagrangians in ALE spaces

Alexander F. Ritter

arxiv:0903.0240 v2 · 2009-03-02 · 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{4CTUL7IF4R6ULLN2GKN2EOPMPC}

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	2026-05-18T04:39:59.625670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a745fd05e47d45adba329ba239ec78b469d5c05249d342d0cded514ce4a632

Aliases

arxiv: 0903.0240 · arxiv_version: 0903.0240v2 · doi: 10.48550/arxiv.0903.0240 · pith_short_12: 4CTUL7IF4R6U · pith_short_16: 4CTUL7IF4R6ULLN2 · pith_short_8: 4CTUL7IF

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/4CTUL7IF4R6ULLN2GKN2EOPMPC \
  | 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: e0a745fd05e47d45adba329ba239ec78b469d5c05249d342d0cded514ce4a632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52c95a4748748be6e2b25ab74fc20b95b1e150a18b23074221f7a61d2170acd3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-03-02T09:12:26Z",
    "title_canon_sha256": "0aaddd94f33a27f97130defeb58e35ac4a99f3279017ec61c6dc151b7a1625ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0240",
    "kind": "arxiv",
    "version": 2
  }
}