Pith Number

pith:CWMGE2XQ

pith:2016:CWMGE2XQI3SYEC5FFGPQEBEG6F

not attested not anchored not stored refs pending

Counting Hamilton decompositions of oriented graphs

Asaf Ferber, Benny Sudakov, Eoin Long

arxiv:1609.09550 v1 · 2016-09-29 · 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{CWMGE2XQI3SYEC5FFGPQEBEG6F}

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	2026-05-18T01:03:35.740648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1598626af046e5820ba5299f020486f14d839f8d661d5d7e50e0a5c316cad3cb

Aliases

arxiv: 1609.09550 · arxiv_version: 1609.09550v1 · doi: 10.48550/arxiv.1609.09550 · pith_short_12: CWMGE2XQI3SY · pith_short_16: CWMGE2XQI3SYEC5F · pith_short_8: CWMGE2XQ

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/CWMGE2XQI3SYEC5FFGPQEBEG6F \
  | 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: 1598626af046e5820ba5299f020486f14d839f8d661d5d7e50e0a5c316cad3cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7ba3e2b2690c38d2acc015187a2acdafc292190909bce0094173fd3557784ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-29T23:42:23Z",
    "title_canon_sha256": "cbfb1e5a8baadeb9bfe914a53377de1601433638da559d317ed6c925f58e6001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09550",
    "kind": "arxiv",
    "version": 1
  }
}