Pith Number

pith:WIMAGED6

pith:2015:WIMAGED6K72RHC3UNG7XPYN5TA

not attested not anchored not stored refs pending

Spectral analogues of Erd\H{o}s' and Moon-Moser's theorems on Hamilton cycles

Binlong Li, Bo Ning

arxiv:1504.03556 v5 · 2015-04-14 · 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{WIMAGED6K72RHC3UNG7XPYN5TA}

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	2026-05-18T00:56:26.138297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b21803107e57f5138b7469bf77e1bd98364a28545d982c5858320926b799bde8

Aliases

arxiv: 1504.03556 · arxiv_version: 1504.03556v5 · doi: 10.48550/arxiv.1504.03556 · pith_short_12: WIMAGED6K72R · pith_short_16: WIMAGED6K72RHC3U · pith_short_8: WIMAGED6

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/WIMAGED6K72RHC3UNG7XPYN5TA \
  | 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: b21803107e57f5138b7469bf77e1bd98364a28545d982c5858320926b799bde8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dfa243a3dce83bdc5596b97ab6058c89d8def414195604b85b9d4033a87527c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-14T14:19:55Z",
    "title_canon_sha256": "072892eeb7a4551978df9bd49688a83b27b30f17e4110bb87f1dea3e1d870d31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03556",
    "kind": "arxiv",
    "version": 5
  }
}