Pith Number

pith:KZ5Q3WGA

pith:2026:KZ5Q3WGARJGZ7HVUYBVXDJAUP2

not attested not anchored not stored refs pending

Existence of pseudo-holomorphic disks via non-archimedean disk potentials

Hang Yuan

arxiv:2606.13122 v1 · 2026-06-11 · math.SG · 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{KZ5Q3WGARJGZ7HVUYBVXDJAUP2}

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	2026-06-12T01:09:41.456751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

567b0dd8c08a4d9f9eb4c06b71a4147ea2633c59d033bdbbb993467074046737

Aliases

arxiv: 2606.13122 · arxiv_version: 2606.13122v1 · doi: 10.48550/arxiv.2606.13122 · pith_short_12: KZ5Q3WGARJGZ · pith_short_16: KZ5Q3WGARJGZ7HVU · pith_short_8: KZ5Q3WGA

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/KZ5Q3WGARJGZ7HVUYBVXDJAUP2 \
  | 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: 567b0dd8c08a4d9f9eb4c06b71a4147ea2633c59d033bdbbb993467074046737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de81bb230757135c9f7de4382a721d27fbb7cdb247a8e72addfe9a17d300e3f1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-06-11T09:50:07Z",
    "title_canon_sha256": "80f2137c67d0320e8c1e000f774c4e98a3e74416a4370121c14855c2976636a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13122",
    "kind": "arxiv",
    "version": 1
  }
}