Pith Number

pith:LUWI7LUP

pith:2015:LUWI7LUPCKK4W2ICBAZSVFCNRU

not attested not anchored not stored refs pending

Beyond the Richter-Thomassen Conjecture

G\'abor Tardos, J\'anos Pach, Natan Rubin

arxiv:1504.08250 v3 · 2015-04-30 · math.CO · 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{LUWI7LUPCKK4W2ICBAZSVFCNRU}

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	2026-05-18T01:37:13.243413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d2c8fae8f1295cb690208332a944d8d3c4b31c72cb9b84b90393a1d36546d41

Aliases

arxiv: 1504.08250 · arxiv_version: 1504.08250v3 · doi: 10.48550/arxiv.1504.08250 · pith_short_12: LUWI7LUPCKK4 · pith_short_16: LUWI7LUPCKK4W2IC · pith_short_8: LUWI7LUP

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/LUWI7LUPCKK4W2ICBAZSVFCNRU \
  | 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: 5d2c8fae8f1295cb690208332a944d8d3c4b31c72cb9b84b90393a1d36546d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23258d5c660e027dd55ce857d7e6b2e764b908f3caf8c70976f76f033445b609",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-30T14:48:10Z",
    "title_canon_sha256": "5bbb4d2cfe105fbf26332dde8b4b500d7f5345b0b4b11d8a6d8c90a847ee2032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08250",
    "kind": "arxiv",
    "version": 3
  }
}