Pith Number

pith:2B4PSQFV

pith:2019:2B4PSQFVMFIIZU2ZNAEUBMMXYO

not attested not anchored not stored refs pending

Triangles and Girth in Disk Graphs and Transmission Graphs

Haim Kaplan, Katharina Klost, Liam Roditty, Micha Sharir, Paul Seiferth, Wolfgang Mulzer

arxiv:1907.01980 v1 · 2019-07-03 · 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{2B4PSQFVMFIIZU2ZNAEUBMMXYO}

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	2026-05-17T23:41:34.322737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d078f940b561508cd359680940b197c3b8055ef93adadd4982073e69b0555395

Aliases

arxiv: 1907.01980 · arxiv_version: 1907.01980v1 · doi: 10.48550/arxiv.1907.01980 · pith_short_12: 2B4PSQFVMFII · pith_short_16: 2B4PSQFVMFIIZU2Z · pith_short_8: 2B4PSQFV

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/2B4PSQFVMFIIZU2ZNAEUBMMXYO \
  | 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: d078f940b561508cd359680940b197c3b8055ef93adadd4982073e69b0555395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f02f4df7876150827234eb046075fabddcf38e56c650cb87a25237f752e552b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2019-07-03T15:09:05Z",
    "title_canon_sha256": "2d781388a4ec5af8504cf9d47c4eaa1bcdb2fefd490dcc1fa97e976981735a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01980",
    "kind": "arxiv",
    "version": 1
  }
}