Pith Number

pith:YC42VUSK

pith:2018:YC42VUSKOQXPQTJGIXMV7EEEXJ

not attested not anchored not stored refs pending

Lattice stick number of spatial graphs

Chaeryn Lee, Hyungkee Yoo, Seungsang Oh

arxiv:1806.09720 v1 · 2018-06-25 · 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{YC42VUSKOQXPQTJGIXMV7EEEXJ}

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	2026-05-18T00:12:23.624159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0b9aad24a742ef84d2645d95f9084ba6313dfc6b7a8573a4760cebf2b553cca

Aliases

arxiv: 1806.09720 · arxiv_version: 1806.09720v1 · doi: 10.48550/arxiv.1806.09720 · pith_short_12: YC42VUSKOQXP · pith_short_16: YC42VUSKOQXPQTJG · pith_short_8: YC42VUSK

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/YC42VUSKOQXPQTJGIXMV7EEEXJ \
  | 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: c0b9aad24a742ef84d2645d95f9084ba6313dfc6b7a8573a4760cebf2b553cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c3b066e6de5787acf7a9543a8eb3c842d7a84b5dd299bf2c93c1c9cf3ead902",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-06-25T22:43:43Z",
    "title_canon_sha256": "771c1d67e6871802973fd4a469ec7968c23c9c214d9f655532b40aa7dd916bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09720",
    "kind": "arxiv",
    "version": 1
  }
}