Pith Number

pith:7SSXPHGR

pith:2021:7SSXPHGRKTVG3TQ4ZMQ4GETAMD

not attested not anchored not stored refs pending

Number of Hamiltonian cycles in planar triangulations

Xiaonan Liu, Xingxing Yu

arxiv:2104.04898 v2 · 2021-04-11 · 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{7SSXPHGRKTVG3TQ4ZMQ4GETAMD}

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	2026-07-05T02:31:24.027012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca5779cd154ea6dce1ccb21c3126060c9379827ae19d5a562abebbed16a4647

Aliases

arxiv: 2104.04898 · arxiv_version: 2104.04898v2 · doi: 10.48550/arxiv.2104.04898 · pith_short_12: 7SSXPHGRKTVG · pith_short_16: 7SSXPHGRKTVG3TQ4 · pith_short_8: 7SSXPHGR

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/7SSXPHGRKTVG3TQ4ZMQ4GETAMD \
  | 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: fca5779cd154ea6dce1ccb21c3126060c9379827ae19d5a562abebbed16a4647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666a2763e0d524ea5282b3b8531f12fe4749d68d5e8313e269daa99cd09e6393",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-04-11T02:17:12Z",
    "title_canon_sha256": "2a3d0188977b2bca4d090cc00c141eac0e64d11d64f4bff50ed63e9ea0ea3ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.04898",
    "kind": "arxiv",
    "version": 2
  }
}