Pith Number

pith:NC2D3HYR

pith:2009:NC2D3HYRDHMMOPE2VO3HWQMFV7

not attested not anchored not stored refs pending

Gromov-Witten theory of root gerbes I: structure of genus $0$ moduli spaces

Elena Andreini, Hsian-Hua Tseng, Yunfeng Jiang

arxiv:0907.2087 v2 · 2009-07-13 · math.AG · 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{NC2D3HYRDHMMOPE2VO3HWQMFV7}

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	2026-05-18T02:31:27.854197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b43d9f1119d8c73c9aabb67b4185afdfc3c0af8fa78770bfd35026f20429e5

Aliases

arxiv: 0907.2087 · arxiv_version: 0907.2087v2 · doi: 10.48550/arxiv.0907.2087 · pith_short_12: NC2D3HYRDHMM · pith_short_16: NC2D3HYRDHMMOPE2 · pith_short_8: NC2D3HYR

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/NC2D3HYRDHMMOPE2VO3HWQMFV7 \
  | 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: 68b43d9f1119d8c73c9aabb67b4185afdfc3c0af8fa78770bfd35026f20429e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c5c95e048150ab6f733f75938caef0bdbae727cc5ece1b165888f1ca9ab2e85",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-13T02:27:10Z",
    "title_canon_sha256": "11883cd12eb9b58bd4efd3c74916abcbb352ea1c5549d719ac4eef085c21c352"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2087",
    "kind": "arxiv",
    "version": 2
  }
}