Pith Number

pith:ZUK2R5Y4

pith:2013:ZUK2R5Y4OL4PY3PPT4KIIHUHL5

not attested not anchored not stored refs pending

Open Gromov-Witten disk invariants in the presence of an anti-symplectic involution

Penka Georgieva

arxiv:1306.5019 v2 · 2013-06-20 · 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{ZUK2R5Y4OL4PY3PPT4KIIHUHL5}

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	2026-05-18T01:28:44.485496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd15a8f71c72f8fc6def9f14841e875f4d262523bbf181eff878a2ae8a84e4d1

Aliases

arxiv: 1306.5019 · arxiv_version: 1306.5019v2 · doi: 10.48550/arxiv.1306.5019 · pith_short_12: ZUK2R5Y4OL4P · pith_short_16: ZUK2R5Y4OL4PY3PP · pith_short_8: ZUK2R5Y4

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/ZUK2R5Y4OL4PY3PPT4KIIHUHL5 \
  | 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: cd15a8f71c72f8fc6def9f14841e875f4d262523bbf181eff878a2ae8a84e4d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5432bdeca1dc8677caf85fa317141d8a6af2cfe4d4040d0b60ebc2a776c8a3a8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-06-20T23:06:04Z",
    "title_canon_sha256": "c8484367c3b5338edfa285ccef4c9184409bb1a401910d4321ccda7b4a6a531a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5019",
    "kind": "arxiv",
    "version": 2
  }
}