Pith Number

pith:Q6FODKTP

pith:2025:Q6FODKTPEAGEAGIIRGSAK32SST

not attested not anchored not stored refs pending

On the Conjecture of the Representation Number of Bipartite Graphs

Khyodeno Mozhui, K. V. Krishna

arxiv:2506.01057 v1 · 2025-06-01 · 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{Q6FODKTPEAGEAGIIRGSAK32SST}

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	2026-07-05T11:13:45.244553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

878ae1aa6f200c40190889a4056f5294d6f4d4b0f66811b203c7f7a9a66a7750

Aliases

arxiv: 2506.01057 · arxiv_version: 2506.01057v1 · doi: 10.48550/arxiv.2506.01057 · pith_short_12: Q6FODKTPEAGE · pith_short_16: Q6FODKTPEAGEAGII · pith_short_8: Q6FODKTP

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/Q6FODKTPEAGEAGIIRGSAK32SST \
  | 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: 878ae1aa6f200c40190889a4056f5294d6f4d4b0f66811b203c7f7a9a66a7750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79beb6a436abbe84debb6f317d0b61414e086ee3a3ebfc2fe732fdaf1e44a9d9",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-01T15:52:23Z",
    "title_canon_sha256": "418f8c36e2f922c64182898b5d05d97daff2b4d98a503291393835ea690bbc9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01057",
    "kind": "arxiv",
    "version": 1
  }
}