Pith Number

pith:BPCC6KOA

pith:2024:BPCC6KOAN3KYSSOKLBJBWO62CP

not attested not anchored not stored refs pending

The $k$-representation number of the random graph

Ayush Basu, Marcelo Sales, Vojt\v{e}ch R\"odl

arxiv:2403.01563 v1 · 2024-03-03 · 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{BPCC6KOAN3KYSSOKLBJBWO62CP}

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	2026-07-05T07:51:48.865382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bc42f29c06ed58949ca58521b3bda13dfb0cb8798330e8040a215bfad0d4338

Aliases

arxiv: 2403.01563 · arxiv_version: 2403.01563v1 · doi: 10.48550/arxiv.2403.01563 · pith_short_12: BPCC6KOAN3KY · pith_short_16: BPCC6KOAN3KYSSOK · pith_short_8: BPCC6KOA

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/BPCC6KOAN3KYSSOKLBJBWO62CP \
  | 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: 0bc42f29c06ed58949ca58521b3bda13dfb0cb8798330e8040a215bfad0d4338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fac053e3093958c299baa37d87a0709e0b197a0abe4f51d5053a307fc262206",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-03-03T16:55:41Z",
    "title_canon_sha256": "76282094caf9710112a95b06faefcb2fa08365af4a167ac4295d9981e5d2ec06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.01563",
    "kind": "arxiv",
    "version": 1
  }
}