Pith Number

pith:ZV5TK6SP

pith:2010:ZV5TK6SPUXSZB6G2TMIELU2SOM

not attested not anchored not stored refs pending

Rainbow Hamilton cycles in random graphs

Alan Frieze, Po-Shen Loh

arxiv:1101.0182 v1 · 2010-12-31 · 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{ZV5TK6SPUXSZB6G2TMIELU2SOM}

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	2026-05-18T04:32:10.868405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd7b357a4fa5e590f8da9b1045d352730ad38bf704974b7b98e065524ef63978

Aliases

arxiv: 1101.0182 · arxiv_version: 1101.0182v1 · doi: 10.48550/arxiv.1101.0182 · pith_short_12: ZV5TK6SPUXSZ · pith_short_16: ZV5TK6SPUXSZB6G2 · pith_short_8: ZV5TK6SP

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/ZV5TK6SPUXSZB6G2TMIELU2SOM \
  | 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: cd7b357a4fa5e590f8da9b1045d352730ad38bf704974b7b98e065524ef63978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a469e227c4841132ed334cf7cdd022990a84e09b65fc45d8eb2915bbe8e405c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-31T00:03:32Z",
    "title_canon_sha256": "edce5cd2f73a15140c5bbbbe2006ddaab5ebd9b0ef1c3bdd5fbf3b3c5a5d47ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0182",
    "kind": "arxiv",
    "version": 1
  }
}