Pith Number

pith:NPS4W5DZ

pith:2012:NPS4W5DZFW4J3KROTCSZDRZQZN

not attested not anchored not stored refs pending

Open Gromov-Witten invariants, mirror maps, and Seidel representations for toric manifolds

Hsian-Hua Tseng, Kwokwai Chan, Naichung Conan Leung, Siu-Cheong Lau

arxiv:1209.6119 v4 · 2012-09-27 · math.SG · math.AG · 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{NPS4W5DZFW4J3KROTCSZDRZQZN}

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	2026-05-18T00:43:03.454011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be5cb74792db89daa2e98a591c730cb4cf55dcf9d74433a3fec1242e668cb7e

Aliases

arxiv: 1209.6119 · arxiv_version: 1209.6119v4 · doi: 10.48550/arxiv.1209.6119 · pith_short_12: NPS4W5DZFW4J · pith_short_16: NPS4W5DZFW4J3KRO · pith_short_8: NPS4W5DZ

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/NPS4W5DZFW4J3KROTCSZDRZQZN \
  | 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: 6be5cb74792db89daa2e98a591c730cb4cf55dcf9d74433a3fec1242e668cb7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9176923d2f4462bd18f00aa2afbb11ec1cdab012e301b1d0d7643aa0e6b5e7e",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-09-27T03:37:57Z",
    "title_canon_sha256": "1fc1f04a211631e705ec8a572ef8e47fabd473733b3d9c9ba1aabe27e98d2c29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6119",
    "kind": "arxiv",
    "version": 4
  }
}