Pith Number

pith:LIEHFRTY

pith:2013:LIEHFRTYGDZPCXNN6MSED6EDXN

not attested not anchored not stored refs pending

Tight co-degree condition for the existence of loose Hamilton cycles in 3-graphs

Andrzej Czygrinow, Theodore Molla

arxiv:1308.0721 v1 · 2013-08-03 · 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{LIEHFRTYGDZPCXNN6MSED6EDXN}

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	2026-05-18T03:16:48.398822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0872c67830f2f15dadf32441f883bb62c754dfe418002ac20bfb7ab432d0dc

Aliases

arxiv: 1308.0721 · arxiv_version: 1308.0721v1 · doi: 10.48550/arxiv.1308.0721 · pith_short_12: LIEHFRTYGDZP · pith_short_16: LIEHFRTYGDZPCXNN · pith_short_8: LIEHFRTY

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/LIEHFRTYGDZPCXNN6MSED6EDXN \
  | 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: 5a0872c67830f2f15dadf32441f883bb62c754dfe418002ac20bfb7ab432d0dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8187fb69eef5d77db977cf15989d43493806b4334568dbc7c6f595567bb1413f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-03T16:54:22Z",
    "title_canon_sha256": "aa8cee0aac6d15ec72ba42e26a48a7aeff662d081d11fdcab9daccb8ca55f551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0721",
    "kind": "arxiv",
    "version": 1
  }
}