Pith Number

pith:EBS7NU7M

pith:2012:EBS7NU7MDADRY6LCTBF5RWSIZM

not attested not anchored not stored refs pending

A refinement of the Cameron-Erd\H{o}s Conjecture

J\'ozsef Balogh, Noga Alon, Robert Morris, Wojciech Samotij

arxiv:1202.5200 v2 · 2012-02-23 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EBS7NU7MDADRY6LCTBF5RWSIZM}

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	2026-05-18T02:57:53.774504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2065f6d3ec18071c7962984bd8da48cb0aeadc32f06be95727064375d827d0ff

Aliases

arxiv: 1202.5200 · arxiv_version: 1202.5200v2 · doi: 10.48550/arxiv.1202.5200 · pith_short_12: EBS7NU7MDADR · pith_short_16: EBS7NU7MDADRY6LC · pith_short_8: EBS7NU7M

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/EBS7NU7MDADRY6LCTBF5RWSIZM \
  | 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: 2065f6d3ec18071c7962984bd8da48cb0aeadc32f06be95727064375d827d0ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d220a301fdf92ac5fd1b0f5c71c39bd5d634bd2f91811ba228272c3bc276f6b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-23T14:54:40Z",
    "title_canon_sha256": "765d627f6b15400dd70238b5bb881402e691dd69837c248c2a005c2ff48ef622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5200",
    "kind": "arxiv",
    "version": 2
  }
}