Pith Number

pith:KJZ4BKPU

pith:2015:KJZ4BKPUV3ETII2UBRDA3M6UAH

not attested not anchored not stored refs pending

Boolean lattices: Ramsey properties and embeddings

Maria Axenovich, Stefan Walzer

arxiv:1512.05565 v1 · 2015-12-17 · 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{KJZ4BKPUV3ETII2UBRDA3M6UAH}

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	2026-05-18T01:24:09.787889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5273c0a9f4aec93423540c460db3d401e88f68cc38d8dd317c14f413ee1c8254

Aliases

arxiv: 1512.05565 · arxiv_version: 1512.05565v1 · doi: 10.48550/arxiv.1512.05565 · pith_short_12: KJZ4BKPUV3ET · pith_short_16: KJZ4BKPUV3ETII2U · pith_short_8: KJZ4BKPU

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/KJZ4BKPUV3ETII2UBRDA3M6UAH \
  | 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: 5273c0a9f4aec93423540c460db3d401e88f68cc38d8dd317c14f413ee1c8254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ece477448194acd21caf4f3e7513696ccb34812e20d3b9889973ff4df9061bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-17T12:50:37Z",
    "title_canon_sha256": "bb21ba97939322ac84a9dbe6872ee58deae745a13af382c2883b75d0732ffda8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05565",
    "kind": "arxiv",
    "version": 1
  }
}