Pith Number

pith:LTWJ74LZ

pith:2013:LTWJ74LZ6CF5SGPKZFHEFAOAJL

not attested not anchored not stored refs pending

On the strong partition dimension of graphs

Ismael Gonzalez Yero

arxiv:1312.1987 v1 · 2013-12-06 · 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{LTWJ74LZ6CF5SGPKZFHEFAOAJL}

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	2026-05-18T03:05:19.301235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cec9ff179f08bd919eac94e4281c04afb524a53caf18b036c74da43eaec8284

Aliases

arxiv: 1312.1987 · arxiv_version: 1312.1987v1 · doi: 10.48550/arxiv.1312.1987 · pith_short_12: LTWJ74LZ6CF5 · pith_short_16: LTWJ74LZ6CF5SGPK · pith_short_8: LTWJ74LZ

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/LTWJ74LZ6CF5SGPKZFHEFAOAJL \
  | 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: 5cec9ff179f08bd919eac94e4281c04afb524a53caf18b036c74da43eaec8284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e29975b7e1d0b72dd513b54a02b6eac52fa9c6e026f52b5ba81eb13edcd6e4b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-06T20:09:25Z",
    "title_canon_sha256": "42f1f61b5d94150d5d8eb25f2a1c89b0b4878e505b5afa24710766ffbb273e1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1987",
    "kind": "arxiv",
    "version": 1
  }
}