Pith Number

pith:PRM3F3PO

pith:2025:PRM3F3POSBS7BA6GGVNSWHTWUL

not attested not anchored not stored refs pending

Uniqueness of holomorphic quilts lifted from holomorphic bigons on surfaces

Zuyi Zhang

arxiv:2504.09284 v1 · 2025-04-12 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRM3F3POSBS7BA6GGVNSWHTWUL}

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

The existence criterion of holomorphic discs for higher $A_\infty$ operations via minimal discs

Receipt and verification

First computed	2026-07-05T10:48:34.433791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c59b2edee9065f083c6355b2b1e76a2f02aa63fe156a72d47348fcfab642ef3

Aliases

arxiv: 2504.09284 · arxiv_version: 2504.09284v1 · doi: 10.48550/arxiv.2504.09284 · pith_short_12: PRM3F3POSBS7 · pith_short_16: PRM3F3POSBS7BA6G · pith_short_8: PRM3F3PO

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/PRM3F3POSBS7BA6GGVNSWHTWUL \
  | 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: 7c59b2edee9065f083c6355b2b1e76a2f02aa63fe156a72d47348fcfab642ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19a3d18ebef766909e580b6eef128d2e108cacf1c685ff93488bb83d656ba36d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-04-12T17:07:54Z",
    "title_canon_sha256": "499283fbf2f14797e565296de7ddcdede335c31819bdcfd7cf2046ce7aa85e61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.09284",
    "kind": "arxiv",
    "version": 1
  }
}