Pith Number

pith:L4NRRWUF

pith:2018:L4NRRWUFX36GYFCYQ73JAFJAKZ

not attested not anchored not stored refs pending

On Hamilton cycles in Erd\H{o}s-R\'{e}nyi subgraphs of large graphs

Tony Johansson

arxiv:1811.03501 v1 · 2018-11-08 · 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{L4NRRWUFX36GYFCYQ73JAFJAKZ}

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	2026-05-18T00:01:15.946526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f1b18da85befc6c145887f69015205667729e68e2ec51c95d2828b36369885e

Aliases

arxiv: 1811.03501 · arxiv_version: 1811.03501v1 · doi: 10.48550/arxiv.1811.03501 · pith_short_12: L4NRRWUFX36G · pith_short_16: L4NRRWUFX36GYFCY · pith_short_8: L4NRRWUF

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/L4NRRWUFX36GYFCYQ73JAFJAKZ \
  | 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: 5f1b18da85befc6c145887f69015205667729e68e2ec51c95d2828b36369885e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18f038a926b6d00c2067f2e4b3148de47bc5196462e17e9a9de1548518d591ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-08T15:43:19Z",
    "title_canon_sha256": "34ba5c5227a6e1a158e9cb45b25f5cd83389402c767b8679f332ad172796aab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03501",
    "kind": "arxiv",
    "version": 1
  }
}