Pith Number

pith:ZTCMHJPO

pith:2022:ZTCMHJPO2GKHHOZTTTJOVZTELH

not attested not anchored not stored refs pending

From near-symplectic constructions to trisections of 4-manifolds

David T Gay

arxiv:2206.07686 v1 · 2022-06-15 · 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{ZTCMHJPO2GKHHOZTTTJOVZTELH}

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

Minimal genus trisection diagrams of the elliptic surfaces $E(n)$ via handle diagrams

Receipt and verification

First computed	2026-07-05T04:32:07.960658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccc4c3a5eed19473bb339cd2eae66459c824fafdb83ee78383f790fe41163e96

Aliases

arxiv: 2206.07686 · arxiv_version: 2206.07686v1 · doi: 10.48550/arxiv.2206.07686 · pith_short_12: ZTCMHJPO2GKH · pith_short_16: ZTCMHJPO2GKHHOZT · pith_short_8: ZTCMHJPO

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/ZTCMHJPO2GKHHOZTTTJOVZTELH \
  | 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: ccc4c3a5eed19473bb339cd2eae66459c824fafdb83ee78383f790fe41163e96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3086dcb8c6269ad3170066ea3da764a7c2037844512a1e8643bce97db39a1bf3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-06-15T17:34:07Z",
    "title_canon_sha256": "5ef98a658d92081e6ee2c4506597d5d4ae4c1dab6fe9d0f796d9e2e0038a962d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.07686",
    "kind": "arxiv",
    "version": 1
  }
}