Pith Number

pith:NC73U2MV

pith:2012:NC73U2MVQ3HGGFARCKYPOHEF63

not attested not anchored not stored refs pending

On computations of genus zero two-point descendant Gromov-Witten invariants

Amin Gholampour, Hsian-Hua Tseng

arxiv:1207.6071 v1 · 2012-07-25 · math.AG · math.SG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NC73U2MVQ3HGGFARCKYPOHEF63}

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	2026-05-18T02:56:19.373695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68bfba699586ce63141112b0f71c85f6d1e5b7f1963b102ea4ea99f53abd8d7e

Aliases

arxiv: 1207.6071 · arxiv_version: 1207.6071v1 · doi: 10.48550/arxiv.1207.6071 · pith_short_12: NC73U2MVQ3HG · pith_short_16: NC73U2MVQ3HGGFAR · pith_short_8: NC73U2MV

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/NC73U2MVQ3HGGFARCKYPOHEF63 \
  | 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: 68bfba699586ce63141112b0f71c85f6d1e5b7f1963b102ea4ea99f53abd8d7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5032772705163e59fdec2fc5bd2b06dd1a9300f706ddab0a16cbf739599b44a",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-25T17:56:56Z",
    "title_canon_sha256": "ddf0d1c4e6b7dea02337661409da1aac16e0621c1bd20c5cfeab09f85b2396d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6071",
    "kind": "arxiv",
    "version": 1
  }
}