Pith Number

pith:NXPIGQZJ

pith:2025:NXPIGQZJWELDK6KYZAGG3JBYYO

not attested not anchored not stored refs pending

The ineffectiveness of the regularity lemma for bounded degree graphs

Clark Lyons, Grigory Terlov, Zolt\'an Vidny\'anszky

arxiv:2505.06215 v3 · 2025-05-09 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXPIGQZJWELDK6KYZAGG3JBYYO}

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	2026-07-05T11:52:20.433993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dde834329b116357958c80c6da438c380b4e587c0e0b704436117aa1cb7baa9

Aliases

arxiv: 2505.06215 · arxiv_version: 2505.06215v3 · doi: 10.48550/arxiv.2505.06215 · pith_short_12: NXPIGQZJWELD · pith_short_16: NXPIGQZJWELDK6KY · pith_short_8: NXPIGQZJ

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/NXPIGQZJWELDK6KYZAGG3JBYYO \
  | 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: 6dde834329b116357958c80c6da438c380b4e587c0e0b704436117aa1cb7baa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf11d17472067887e5d851690d746f9a9db4357c872712697cc6e94e1015eb1",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-09T17:48:59Z",
    "title_canon_sha256": "419850e2173e78907e496dd5465e892c5ea959cccce9b4df76897e1a678fd0ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.06215",
    "kind": "arxiv",
    "version": 3
  }
}