Pith Number

pith:O3YZZ3LJ

pith:2025:O3YZZ3LJY55YDEFI2QLWNZSMJY

not attested not anchored not stored refs pending

Representation Number of Word-Representable Split Graphs

Khyodeno Mozhui, K. V. Krishna, Tithi Dwary

arxiv:2502.00872 v2 · 2025-02-02 · math.CO · 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{O3YZZ3LJY55YDEFI2QLWNZSMJY}

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.

Cited by

1 paper in Pith

On the Conjecture of the Representation Number of Bipartite Graphs

Receipt and verification

First computed	2026-07-05T10:54:42.569665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76f19ced69c77b8190a8d41766e64c4e0a6df6876d2ee47cd7f63be4e9e197b4

Aliases

arxiv: 2502.00872 · arxiv_version: 2502.00872v2 · doi: 10.48550/arxiv.2502.00872 · pith_short_12: O3YZZ3LJY55Y · pith_short_16: O3YZZ3LJY55YDEFI · pith_short_8: O3YZZ3LJ

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/O3YZZ3LJY55YDEFI2QLWNZSMJY \
  | 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: 76f19ced69c77b8190a8d41766e64c4e0a6df6876d2ee47cd7f63be4e9e197b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c666838a64670474da6c53d03ace5a4346eb3979302e5afb5ab0f978f7f59cfe",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-02T18:54:52Z",
    "title_canon_sha256": "9997c535f56fb385332db5006da1040d2832bce9b293c44fdd36cce271232184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00872",
    "kind": "arxiv",
    "version": 2
  }
}