Pith Number

pith:5VDJSSND

pith:2019:5VDJSSND2UOCXABHQHJZ2K5U4D

not attested not anchored not stored refs pending

From Heegaard splittings to trisections; porting 3-dimensional ideas to dimension 4

David T. Gay

arxiv:1902.01797 v1 · 2019-02-05 · 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{5VDJSSND2UOCXABHQHJZ2K5U4D}

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	2026-05-17T23:54:44.719153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed469949a3d51c2b802781d39d2bb4e0d592601a6a76d1df5c5537d880ba7398

Aliases

arxiv: 1902.01797 · arxiv_version: 1902.01797v1 · doi: 10.48550/arxiv.1902.01797 · pith_short_12: 5VDJSSND2UOC · pith_short_16: 5VDJSSND2UOCXABH · pith_short_8: 5VDJSSND

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/5VDJSSND2UOCXABHQHJZ2K5U4D \
  | 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: ed469949a3d51c2b802781d39d2bb4e0d592601a6a76d1df5c5537d880ba7398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa692a4ed1c8e017682a50d880f5d3c222ce1ea92b6d059284bcf6bffca2828d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-02-05T17:09:20Z",
    "title_canon_sha256": "3cb45538161db08866de37f3eabb5f15ee779bc214b9547f58e3cb04a2396b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01797",
    "kind": "arxiv",
    "version": 1
  }
}