Pith Number

pith:UUO4WCXR

pith:2015:UUO4WCXR6VFKXIAACD44BM6ISA

not attested not anchored not stored refs pending

A degree sum condition for hamiltonicity in balanced bipartite digraphs

Janusz Adamus

arxiv:1512.00480 v1 · 2015-12-01 · 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{UUO4WCXR6VFKXIAACD44BM6ISA}

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	2026-05-18T01:25:25.820257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a51dcb0af1f54aaba00010f9c0b3c89025566a6e9599d7503fe0d13ded2aa6dd

Aliases

arxiv: 1512.00480 · arxiv_version: 1512.00480v1 · doi: 10.48550/arxiv.1512.00480 · pith_short_12: UUO4WCXR6VFK · pith_short_16: UUO4WCXR6VFKXIAA · pith_short_8: UUO4WCXR

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/UUO4WCXR6VFKXIAACD44BM6ISA \
  | 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: a51dcb0af1f54aaba00010f9c0b3c89025566a6e9599d7503fe0d13ded2aa6dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d418497f6d6d0981e5bad0e81e7fae7d217808e93452aa36a075b44dff1987ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-01T21:07:19Z",
    "title_canon_sha256": "a8a6b2584d00c411ec62251f4c32d9d661578498ee79befa28d79b7c94661b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00480",
    "kind": "arxiv",
    "version": 1
  }
}