Pith Number

pith:625VMQPO

pith:2011:625VMQPOV45GFGWZ5BB7GRZEJ6

not attested not anchored not stored refs pending

Floer theory for negative line bundles via Gromov-Witten invariants

Alexander F. Ritter

arxiv:1106.3975 v3 · 2011-06-20 · math.SG · 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{625VMQPOV45GFGWZ5BB7GRZEJ6}

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	2026-05-18T02:48:55.197018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6bb5641eeaf3a629ad9e843f347244fa26bfef19ab6110781d94ba2d496eb5b

Aliases

arxiv: 1106.3975 · arxiv_version: 1106.3975v3 · doi: 10.48550/arxiv.1106.3975 · pith_short_12: 625VMQPOV45G · pith_short_16: 625VMQPOV45GFGWZ · pith_short_8: 625VMQPO

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/625VMQPOV45GFGWZ5BB7GRZEJ6 \
  | 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: f6bb5641eeaf3a629ad9e843f347244fa26bfef19ab6110781d94ba2d496eb5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2ee022ea6b8c49c739eb916b61de12c16ca2d288ad35cf729444d94105a2136",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-06-20T17:55:09Z",
    "title_canon_sha256": "deb2977e5ae840d2dab1346b8917f90f0a37e4961f76138d8af0705b29b00e36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3975",
    "kind": "arxiv",
    "version": 3
  }
}