Pith Number

pith:JHO5WYVO

pith:2013:JHO5WYVO3C6OKYC7VMUD52U6PM

not attested not anchored not stored refs pending

Long paths and cycles in random subgraphs of H-free graphs

Michael Krivelevich, Wojciech Samotij

arxiv:1303.1066 v2 · 2013-03-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHO5WYVO3C6OKYC7VMUD52U6PM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:02:05.708047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49dddb62aed8bce5605fab283eea9e7b3c387019b2a9c1e6e12184a6481cd081

Aliases

arxiv: 1303.1066 · arxiv_version: 1303.1066v2 · doi: 10.48550/arxiv.1303.1066 · pith_short_12: JHO5WYVO3C6O · pith_short_16: JHO5WYVO3C6OKYC7 · pith_short_8: JHO5WYVO

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/JHO5WYVO3C6OKYC7VMUD52U6PM \
  | 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: 49dddb62aed8bce5605fab283eea9e7b3c387019b2a9c1e6e12184a6481cd081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48384556886dd742e4982f207bc5c28135c6167c1c60514a30463e29b4eeed8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-05T15:26:21Z",
    "title_canon_sha256": "6beb248a1fabd52d607914c3f7cb92a1eacd6de192f64f43aeea8cf20f6ae840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1066",
    "kind": "arxiv",
    "version": 2
  }
}