Pith Number

pith:GR4NVICW

pith:2021:GR4NVICWVQMMWEXYZ47TQXHU74

not attested not anchored not stored refs pending

Splitting of Gromov-Witten Invariants with Toric Gluing Strata

Yixian Wu

arxiv:2103.14780 v3 · 2021-03-27 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GR4NVICWVQMMWEXYZ47TQXHU74}

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

1 paper in Pith

Mirrors to toric degenerations via intrinsic mirror symmetry

Receipt and verification

First computed	2026-07-05T08:50:22.550167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3478daa056ac18cb12f8cf3f385cf4ff108cbadd2aa5689928cc2ec4b35c48b4

Aliases

arxiv: 2103.14780 · arxiv_version: 2103.14780v3 · doi: 10.48550/arxiv.2103.14780 · pith_short_12: GR4NVICWVQMM · pith_short_16: GR4NVICWVQMMWEXY · pith_short_8: GR4NVICW

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/GR4NVICWVQMMWEXYZ47TQXHU74 \
  | 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: 3478daa056ac18cb12f8cf3f385cf4ff108cbadd2aa5689928cc2ec4b35c48b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82277a3f9cb1dd9aa325e796e10ba71ade0b0bdef5306d507b488e57bf09ee56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-03-27T00:50:45Z",
    "title_canon_sha256": "af6cfbef164e16c85713ce85aaab59f706b132b7d174a22ce067d55b3da55d65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.14780",
    "kind": "arxiv",
    "version": 3
  }
}