Pith Number

pith:JLJAMX23

pith:2026:JLJAMX23XRIR3TODU66EPNQOKI

not attested not anchored not stored refs pending

Excluding an induced star in dense random graphs

Sam van der Poel

arxiv:2606.22661 v1 · 2026-06-21 · 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{JLJAMX23XRIR3TODU66EPNQOKI}

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	2026-06-23T02:13:44.217267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad2065f5bbc511dcdc3a7bc47b60e5211316d14f4c4cf6e81586077a80412f7

Aliases

arxiv: 2606.22661 · arxiv_version: 2606.22661v1 · doi: 10.48550/arxiv.2606.22661 · pith_short_12: JLJAMX23XRIR · pith_short_16: JLJAMX23XRIR3TOD · pith_short_8: JLJAMX23

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/JLJAMX23XRIR3TODU66EPNQOKI \
  | 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: 4ad2065f5bbc511dcdc3a7bc47b60e5211316d14f4c4cf6e81586077a80412f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6698a0410f3bc5acd1224b9788d337f61ce7c7f46291fe9e7aa5a97e2cbe9c3b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-21T20:36:42Z",
    "title_canon_sha256": "c2e38ea55cd72e0cdbe8bfc363d6368e9c2c2d9bf821f8500117ff8efb97056b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22661",
    "kind": "arxiv",
    "version": 1
  }
}