Pith Number

pith:AVFBDKNF

pith:2015:AVFBDKNFCV63UE45CEQCYS2MYD

not attested not anchored not stored refs pending

Ramsey equivalence of $K_n$ and $K_n+K_{n-1}$

Anita Liebenau, Thomas F. Bloom

arxiv:1508.03866 v1 · 2015-08-16 · 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{AVFBDKNFCV63UE45CEQCYS2MYD}

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	2026-05-18T01:35:15.009821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

054a11a9a5157dba139d11202c4b4cc0db431810716fcad3a62b47fde69c0045

Aliases

arxiv: 1508.03866 · arxiv_version: 1508.03866v1 · doi: 10.48550/arxiv.1508.03866 · pith_short_12: AVFBDKNFCV63 · pith_short_16: AVFBDKNFCV63UE45 · pith_short_8: AVFBDKNF

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/AVFBDKNFCV63UE45CEQCYS2MYD \
  | 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: 054a11a9a5157dba139d11202c4b4cc0db431810716fcad3a62b47fde69c0045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "443e3c79a38ca37fe3963c2246c7120315a8bc283b1323bf67ac301c525bb80e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-16T21:07:33Z",
    "title_canon_sha256": "73ea694ac7c43732c584e5adf920fa7d184643e075340c88cef0eebad417e4ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03866",
    "kind": "arxiv",
    "version": 1
  }
}