Pith Number

pith:BXQGQHMM

pith:2015:BXQGQHMM4EIPAJBXMDKRCZTBLB

not attested not anchored not stored refs pending

Levi's Lemma, pseudolinear drawings of $K_n$, and empty triangles

Alan Arroyo, Bruce Richter, Dan McQuillan, Gelasio Salazar

arxiv:1511.06808 v1 · 2015-11-21 · math.CO · 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{BXQGQHMM4EIPAJBXMDKRCZTBLB}

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	2026-05-18T01:26:19.432274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0de0681d8ce110f0243760d51166615868bbc9af30a5969b3b3f3b598b21e3af

Aliases

arxiv: 1511.06808 · arxiv_version: 1511.06808v1 · doi: 10.48550/arxiv.1511.06808 · pith_short_12: BXQGQHMM4EIP · pith_short_16: BXQGQHMM4EIPAJBX · pith_short_8: BXQGQHMM

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/BXQGQHMM4EIPAJBXMDKRCZTBLB \
  | 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: 0de0681d8ce110f0243760d51166615868bbc9af30a5969b3b3f3b598b21e3af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd233b3f6dbd205d3764ae704178246aaccf8f8b58df47dfd24a3cf25e093c1",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-21T01:14:56Z",
    "title_canon_sha256": "d0b54749fa7971f45508dd31851a1749ffdedae7ff3cf68926063c1e9905c5dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06808",
    "kind": "arxiv",
    "version": 1
  }
}