Pith Number

pith:4XUA4SLI

pith:2016:4XUA4SLIL7MW2R6DHIAGAFG344

not attested not anchored not stored refs pending

Loose Hamiltonian cycles forced by large $(k-2)$-degree - approximate version

Fabian Schulenburg, Guilherme Oliveira Mota, Jakob Schnitzer, Josefran de Oliveira Bastos, Mathias Schacht

arxiv:1603.04180 v2 · 2016-03-14 · 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{4XUA4SLIL7MW2R6DHIAGAFG344}

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	2026-05-18T00:31:45.456311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e80e49685fd96d47c33a006014dbe713518d47f4957745c5b369e546ef8d8a

Aliases

arxiv: 1603.04180 · arxiv_version: 1603.04180v2 · doi: 10.48550/arxiv.1603.04180 · pith_short_12: 4XUA4SLIL7MW · pith_short_16: 4XUA4SLIL7MW2R6D · pith_short_8: 4XUA4SLI

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/4XUA4SLIL7MW2R6DHIAGAFG344 \
  | 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: e5e80e49685fd96d47c33a006014dbe713518d47f4957745c5b369e546ef8d8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea06cdd736258f0375532a946d51f11442f978aa8bae99e36243b4664c4c4fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-14T09:53:01Z",
    "title_canon_sha256": "73457520c6e7bb0a8947816e755baee01cd2be4fde17aa5c33df4dbfd86bd219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04180",
    "kind": "arxiv",
    "version": 2
  }
}