Pith Number

pith:NXOG3IYS

pith:2016:NXOG3IYSTR3VSVGHU3D65OMCXU

not attested not anchored not stored refs pending

The Hamilton-Waterloo Problem for $C_3$-factors and $C_n$-factors

Fen Chen, Haitao Cao, Li Wang

arxiv:1609.00453 v1 · 2016-09-02 · 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{NXOG3IYSTR3VSVGHU3D65OMCXU}

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	2026-05-18T00:33:32.480555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ddc6da3129c775954c7a6c7eeb982bd011b4c3d3f9bc755e346e604b1f2cf9e

Aliases

arxiv: 1609.00453 · arxiv_version: 1609.00453v1 · doi: 10.48550/arxiv.1609.00453 · pith_short_12: NXOG3IYSTR3V · pith_short_16: NXOG3IYSTR3VSVGH · pith_short_8: NXOG3IYS

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/NXOG3IYSTR3VSVGHU3D65OMCXU \
  | 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: 6ddc6da3129c775954c7a6c7eeb982bd011b4c3d3f9bc755e346e604b1f2cf9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4be2fdc2e003799b4089b0ad3acc0b9021c172535a9b73e7878c52cbe905671",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-02T02:52:53Z",
    "title_canon_sha256": "263a1aba7f8d22df650096636ec06231b1f5d14368e0deb94af8a9287efc8575"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00453",
    "kind": "arxiv",
    "version": 1
  }
}