Pith Number

pith:XLI4LICT

pith:2017:XLI4LICTKRGVICFUFTKCGHN4XZ

not attested not anchored not stored refs pending

On the forcing spectrum of generalized Petersen graphs P(n,2)

Heping Zhang, Jinjiang Zhu, Shuang Zhao

arxiv:1707.03701 v1 · 2017-07-12 · 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{XLI4LICTKRGVICFUFTKCGHN4XZ}

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	2026-05-18T00:40:25.224639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bad1c5a053544d5408b42cd4231dbcbe4aed3b63e6b7489d5ee2020a3e711e79

Aliases

arxiv: 1707.03701 · arxiv_version: 1707.03701v1 · doi: 10.48550/arxiv.1707.03701 · pith_short_12: XLI4LICTKRGV · pith_short_16: XLI4LICTKRGVICFU · pith_short_8: XLI4LICT

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/XLI4LICTKRGVICFUFTKCGHN4XZ \
  | 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: bad1c5a053544d5408b42cd4231dbcbe4aed3b63e6b7489d5ee2020a3e711e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b37062d0163ebe32ec7b996a953f305abfd03535a1d1fbb6de6b25ec55267a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-12T13:22:20Z",
    "title_canon_sha256": "96f1a3c4d19010360ab618868d46b01754f8e4ed54b91b551145a9c011f6d74d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03701",
    "kind": "arxiv",
    "version": 1
  }
}