Pith Number

pith:FT6TOQJP

pith:2022:FT6TOQJPE47QNLZAFCBQ46WFMT

not attested not anchored not stored refs pending

Compatible Powers of Hamilton Cycles in Dense Graphs

Donglei Yang, Jie Hu, Xiaohan Cheng

arxiv:2212.08315 v2 · 2022-12-16 · 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{FT6TOQJPE47QNLZAFCBQ46WFMT}

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	2026-07-05T05:43:18.247277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cfd37412f273f06af2028830e7ac564eed9b36a8b892980b744d25980f926d5

Aliases

arxiv: 2212.08315 · arxiv_version: 2212.08315v2 · doi: 10.48550/arxiv.2212.08315 · pith_short_12: FT6TOQJPE47Q · pith_short_16: FT6TOQJPE47QNLZA · pith_short_8: FT6TOQJP

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/FT6TOQJPE47QNLZAFCBQ46WFMT \
  | 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: 2cfd37412f273f06af2028830e7ac564eed9b36a8b892980b744d25980f926d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efb902febe41e52fa8d219f097bbb06140bd0bade5b1b997460d629bc5f5543b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-16T07:38:30Z",
    "title_canon_sha256": "ae36edb8bb9cba60c7ef0416195998abca94c34310164ea8ee304309b93dde1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.08315",
    "kind": "arxiv",
    "version": 2
  }
}