Pith Number

pith:FPK7JJRT

pith:2022:FPK7JJRTBZTIGNLTSD3KOEKLM6

not attested not anchored not stored refs pending

Castelnuovo bound and higher genus Gromov-Witten invariants of quintic 3-folds

Yongbin Ruan, Zhiyu Liu

arxiv:2210.13411 v2 · 2022-10-24 · math.AG · hep-th · 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{FPK7JJRTBZTIGNLTSD3KOEKLM6}

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.

Cited by

3 papers in Pith

Large Order Enumerative Geometry, Black Holes and Black Rings

Tilt-stability on singular schemes and Bogomolov-Gieseker-type inequalities

Receipt and verification

First computed	2026-07-05T05:12:03.759510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bd5f4a6330e6683357390f6a7114b6787cd91778e2e9f1a6baf4b10bbb87acc

Aliases

arxiv: 2210.13411 · arxiv_version: 2210.13411v2 · doi: 10.48550/arxiv.2210.13411 · pith_short_12: FPK7JJRTBZTI · pith_short_16: FPK7JJRTBZTIGNLT · pith_short_8: FPK7JJRT

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/FPK7JJRTBZTIGNLTSD3KOEKLM6 \
  | 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: 2bd5f4a6330e6683357390f6a7114b6787cd91778e2e9f1a6baf4b10bbb87acc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ff5035880d5e10ac3b5a94d6e33f5ae856975957c5b94316bd1b6b85c3d0747",
    "cross_cats_sorted": [
      "hep-th",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-10-24T17:13:08Z",
    "title_canon_sha256": "b44e5622a1e4b19e7f4c1385374472b2a8dc08865b66d70509656a5a16d2b7dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.13411",
    "kind": "arxiv",
    "version": 2
  }
}