Pith Number

pith:3BGRWKKL

pith:2013:3BGRWKKLGDG3HY5AMNZKYYXW6F

not attested not anchored not stored refs pending

Projected Gromov-Witten varieties in cominuscule spaces

Anders S. Buch, Leonardo C. Mihalcea, Nicolas Perrin, Pierre-Emmanuel Chaput

arxiv:1312.2468 v2 · 2013-12-09 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BGRWKKLGDG3HY5AMNZKYYXW6F}

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	2026-05-18T00:42:44.704235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d84d1b294b30cdb3e3a06372ac62f6f1535fe3853ad39a77b8930b85b6978388

Aliases

arxiv: 1312.2468 · arxiv_version: 1312.2468v2 · doi: 10.48550/arxiv.1312.2468 · pith_short_12: 3BGRWKKLGDG3 · pith_short_16: 3BGRWKKLGDG3HY5A · pith_short_8: 3BGRWKKL

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/3BGRWKKLGDG3HY5AMNZKYYXW6F \
  | 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: d84d1b294b30cdb3e3a06372ac62f6f1535fe3853ad39a77b8930b85b6978388

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46baaeeb08e0dcc610a96f15e656a9bed64f4ba5ea5116b0117dfd65a25c2979",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-09T15:35:19Z",
    "title_canon_sha256": "7804ac19f2ef3fcbcb59617439f24d4916cbcf59b45a389c30f932e8ce171617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2468",
    "kind": "arxiv",
    "version": 2
  }
}