Pith Number

pith:ZG3KQWJN

pith:2022:ZG3KQWJNFWYKVETDPYIDJ23I3J

not attested not anchored not stored refs pending

Ghost bubble censorship

Tobias Ekholm, Vivek Shende

arxiv:2212.05835 v1 · 2022-12-12 · 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{ZG3KQWJNFWYKVETDPYIDJ23I3J}

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

Reduced Gromov-Witten invariants without ghost bubble censorship

Receipt and verification

First computed	2026-07-05T05:24:20.142616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b6a8592d2db0aa92637e1034eb68da43c5abb37847e11483cb82eb627ce06f

Aliases

arxiv: 2212.05835 · arxiv_version: 2212.05835v1 · doi: 10.48550/arxiv.2212.05835 · pith_short_12: ZG3KQWJNFWYK · pith_short_16: ZG3KQWJNFWYKVETD · pith_short_8: ZG3KQWJN

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/ZG3KQWJNFWYKVETDPYIDJ23I3J \
  | 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: c9b6a8592d2db0aa92637e1034eb68da43c5abb37847e11483cb82eb627ce06f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "178c630c35f9092606430c7410844e5bac74a3d2ffdd223defb186cb4305caf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2022-12-12T11:39:58Z",
    "title_canon_sha256": "45654592a88dca34c6cd30a8e36abea46fd3d8b8e122c562a004b086fd0fc4c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.05835",
    "kind": "arxiv",
    "version": 1
  }
}