Pith Number

pith:LQ7JLD63

pith:2012:LQ7JLD63NKIUJF6QWZW32E53AL

not attested not anchored not stored refs pending

Sum Formulas for Local Gromov-Witten Invariants of Spin Curves

Junho Lee

arxiv:1205.1487 v1 · 2012-05-07 · 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{LQ7JLD63NKIUJF6QWZW32E53AL}

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	2026-05-18T03:56:11.073605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c3e958fdb6a914497d0b66dbd13bb02cfd831323afc307af6bf415e93616a5e

Aliases

arxiv: 1205.1487 · arxiv_version: 1205.1487v1 · doi: 10.48550/arxiv.1205.1487 · pith_short_12: LQ7JLD63NKIU · pith_short_16: LQ7JLD63NKIUJF6Q · pith_short_8: LQ7JLD63

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/LQ7JLD63NKIUJF6QWZW32E53AL \
  | 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: 5c3e958fdb6a914497d0b66dbd13bb02cfd831323afc307af6bf415e93616a5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07be23a9a4b6605495ce573d06a6aabd96583dede94d66bc138de713d0b23cdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-05-07T19:34:11Z",
    "title_canon_sha256": "32e201f8bb41577881042a6ff6b6e25d52ae5694bde51bb7199ecf40cc573633"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1487",
    "kind": "arxiv",
    "version": 1
  }
}