Pith Number

pith:HQLF2OFO

pith:2016:HQLF2OFOGG4NNBLBATE2QVLJZK

not attested not anchored not stored refs pending

The diameter game

Andr\'as Pluh\'ar, J\'ozsef Balogh, Ryan R. Martin

arxiv:1605.05698 v2 · 2016-05-18 · 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{HQLF2OFOGG4NNBLBATE2QVLJZK}

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	2026-05-18T01:14:12.041129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c165d38ae31b8d6856104c9a85569caa7bc855d9ed603983897c350089bfd33

Aliases

arxiv: 1605.05698 · arxiv_version: 1605.05698v2 · doi: 10.48550/arxiv.1605.05698 · pith_short_12: HQLF2OFOGG4N · pith_short_16: HQLF2OFOGG4NNBLB · pith_short_8: HQLF2OFO

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/HQLF2OFOGG4NNBLBATE2QVLJZK \
  | 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: 3c165d38ae31b8d6856104c9a85569caa7bc855d9ed603983897c350089bfd33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcfc637fc1cd9683d5462c5707bf0d572480bd8574d9c689b66626b1b08ef400",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-18T19:00:45Z",
    "title_canon_sha256": "1a6cad6dd90f616d00889e601a4371caa54e8950357487f8a18d10519a252495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05698",
    "kind": "arxiv",
    "version": 2
  }
}