Pith Number

pith:RCZWQLQ3

pith:2025:RCZWQLQ3JOMZO7THLWI3HVEDT7

not attested not anchored not stored refs pending

On Vanishing of Gromov--Witten Invariants

Colleen Robichaux, Igor Pak, Weihong Xu

arxiv:2508.15715 v1 · 2025-08-21 · math.AG · cs.DM · 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{RCZWQLQ3JOMZO7THLWI3HVEDT7}

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	2026-07-05T11:57:17.486862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88b3682e1b4b99977e675d91b3d4839fea299aa2654f7aae61060ae943818579

Aliases

arxiv: 2508.15715 · arxiv_version: 2508.15715v1 · doi: 10.48550/arxiv.2508.15715 · pith_short_12: RCZWQLQ3JOMZ · pith_short_16: RCZWQLQ3JOMZO7TH · pith_short_8: RCZWQLQ3

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/RCZWQLQ3JOMZO7THLWI3HVEDT7 \
  | 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: 88b3682e1b4b99977e675d91b3d4839fea299aa2654f7aae61060ae943818579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bb254b96da81adbc6095391ec49e40e19643bb1b2b8fb4859d2210e2ea06744",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-21T16:56:19Z",
    "title_canon_sha256": "cc06d5c27b61242d069cb824058a456ca8467c1925f630538f190bd59345d058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15715",
    "kind": "arxiv",
    "version": 1
  }
}