Pith Number

pith:VSHHZAZO

pith:2016:VSHHZAZONYYGTVNB2CKMWN7VXM

not attested not anchored not stored refs pending

Relating Graph Thickness to Planar Layers and Bend Complexity

Debajyoti Mondal, Stephane Durocher

arxiv:1602.07816 v2 · 2016-02-25 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSHHZAZONYYGTVNB2CKMWN7VXM}

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	2026-05-18T01:16:02.419311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac8e7c832e6e3069d5a1d094cb37f5bb2b91a904dbd2f70b6ba6ce743cd6be25

Aliases

arxiv: 1602.07816 · arxiv_version: 1602.07816v2 · doi: 10.48550/arxiv.1602.07816 · pith_short_12: VSHHZAZONYYG · pith_short_16: VSHHZAZONYYGTVNB · pith_short_8: VSHHZAZO

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/VSHHZAZONYYGTVNB2CKMWN7VXM \
  | 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: ac8e7c832e6e3069d5a1d094cb37f5bb2b91a904dbd2f70b6ba6ce743cd6be25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b1836db2bd272638a9aa768f8c7a168e93eff521e354c11450674496d6a2523",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-02-25T06:14:19Z",
    "title_canon_sha256": "698fb3414e64218b9cb01f025127da8f2c2d91dc3f0c02f852f557b58dfef2c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07816",
    "kind": "arxiv",
    "version": 2
  }
}