Pith Number

pith:YCMKA7JX

pith:2026:YCMKA7JX3OAHFHDUPDZ7DUWM54

not attested not anchored not stored refs pending

The Finite Length Property of the Rado Graph and Friends

Bartek Klin, Jingjie Yang, Miko{\l}aj Boja\'nczyk

arxiv:2605.21681 v1 · 2026-05-20 · math.CO · cs.FL · cs.LO · math.LO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCMKA7JX3OAHFHDUPDZ7DUWM54}

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	2026-05-22T01:03:27.929673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c098a07d37db80729c7478f3f1d2ccef226e3696ba390e75fd0de1f2073c79de

Aliases

arxiv: 2605.21681 · arxiv_version: 2605.21681v1 · doi: 10.48550/arxiv.2605.21681 · pith_short_12: YCMKA7JX3OAH · pith_short_16: YCMKA7JX3OAHFHDU · pith_short_8: YCMKA7JX

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/YCMKA7JX3OAHFHDUPDZ7DUWM54 \
  | 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: c098a07d37db80729c7478f3f1d2ccef226e3696ba390e75fd0de1f2073c79de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ba22bdf4eb09aeae83e934b45b70037976ffcf70ccb4df56dc22aecb9767b4c",
    "cross_cats_sorted": [
      "cs.FL",
      "cs.LO",
      "math.LO",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T19:38:13Z",
    "title_canon_sha256": "e6577c49ceb4437ef121d7d982749e562bcb3e0a6b8a0a6b4f4b47475fff8616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21681",
    "kind": "arxiv",
    "version": 1
  }
}