Pith Number

pith:OHPRAZBG

pith:2002:OHPRAZBGLD2RKSXMOZYPUTJVUP

not attested not anchored not stored refs pending

Moduli of J-Holomorphic Curves with Lagrangian Boundary Conditions and Open Gromov-Witten Invariants for an $S^1$-Equivariant Pair

Chiu-Chu Melissa Liu

arxiv:math/0210257 v2 · 2002-10-17 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHPRAZBGLD2RKSXMOZYPUTJVUP}

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.

Cited by

1 paper in Pith

Categorical mirror symmetry on cohomology for a complex genus 2 curve

Receipt and verification

First computed	2026-07-04T14:36:38.835174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71df10642658f5154aec7670fa4d35a3f3c57e628feeb32442aa3a1c453eef0d

Aliases

arxiv: math/0210257 · arxiv_version: math/0210257v2 · doi: 10.48550/arxiv.math/0210257 · pith_short_12: OHPRAZBGLD2R · pith_short_16: OHPRAZBGLD2RKSXM · pith_short_8: OHPRAZBG

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/OHPRAZBGLD2RKSXMOZYPUTJVUP \
  | 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: 71df10642658f5154aec7670fa4d35a3f3c57e628feeb32442aa3a1c453eef0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e0d4945b9653e0de3a71c811e28c8213e23a90e6b5b73d936e391492f8f7fb8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2002-10-17T12:41:21Z",
    "title_canon_sha256": "6d679671f28e16ebc2661e53f26d691ca5bfb9e5f9dffb379e7913079087276a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210257",
    "kind": "arxiv",
    "version": 2
  }
}