Pith Number

pith:QP3LZBRB

pith:2013:QP3LZBRBEA6LVKYSHAHYOUDQH4

not attested not anchored not stored refs pending

Graph Labeling with Distance Conditions and the Delta Squared Conjecture

Cole Franks

arxiv:1309.0259 v3 · 2013-09-01 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QP3LZBRBEA6LVKYSHAHYOUDQH4}

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	2026-05-18T03:07:44.153108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83f6bc8621203cbaab12380f8750703f0678e2c0e8bcd1d7d68f1080688a5d9c

Aliases

arxiv: 1309.0259 · arxiv_version: 1309.0259v3 · doi: 10.48550/arxiv.1309.0259 · pith_short_12: QP3LZBRBEA6L · pith_short_16: QP3LZBRBEA6LVKYS · pith_short_8: QP3LZBRB

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/QP3LZBRBEA6LVKYSHAHYOUDQH4 \
  | 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: 83f6bc8621203cbaab12380f8750703f0678e2c0e8bcd1d7d68f1080688a5d9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e51d817a4e0f9fb689e454184c2803663a1a49815cb452b10c68c8644788f21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-01T20:23:11Z",
    "title_canon_sha256": "45f095a40428e47a2e9918aa8eddb5228c862955b13a673f52b0e3b77fbcf1a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0259",
    "kind": "arxiv",
    "version": 3
  }
}