Pith Number

pith:WXD5B6WL

pith:2011:WXD5B6WL35CAUJTFVN2BVRTSP5

not attested not anchored not stored refs pending

Universal Sets for Straight-Line Embeddings of Bicolored Graphs

Jan Kyncl, Josef Cibulka, Pavel Valtr, Rudolf Stolar, Viola M\'esz\'aros

arxiv:1102.0874 v1 · 2011-02-04 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXD5B6WL35CAUJTFVN2BVRTSP5}

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	2026-05-18T03:35:38.866345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c7d0facbdf440a2665ab741ac6727f4a9e23e7197ef07f62fe032f5c0b54eb

Aliases

arxiv: 1102.0874 · arxiv_version: 1102.0874v1 · doi: 10.48550/arxiv.1102.0874 · pith_short_12: WXD5B6WL35CA · pith_short_16: WXD5B6WL35CAUJTF · pith_short_8: WXD5B6WL

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/WXD5B6WL35CAUJTFVN2BVRTSP5 \
  | 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: b5c7d0facbdf440a2665ab741ac6727f4a9e23e7197ef07f62fe032f5c0b54eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3012b70b15c97fd3030624951a5f748a2e093a8d06684a8b49e34f792884b238",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-02-04T10:58:50Z",
    "title_canon_sha256": "88123de91d05a7c7c58cf70252b74b53442f0e2f56d69ee68acf9aeddbb65e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0874",
    "kind": "arxiv",
    "version": 1
  }
}