Pith Number

pith:CKGDW6WX

pith:2014:CKGDW6WXLMVEGXPCWKBW4LSV22

not attested not anchored not stored refs pending

A graph theoretic encoding of Lucas sequences

James Alexander, Paul Hearding

arxiv:1501.00061 v1 · 2014-12-31 · 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{CKGDW6WXLMVEGXPCWKBW4LSV22}

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	2026-05-18T02:30:10.264006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128c3b7ad75b2a435de2b2836e2e55d6a10dd925d394c27245449dc523ca1efe

Aliases

arxiv: 1501.00061 · arxiv_version: 1501.00061v1 · doi: 10.48550/arxiv.1501.00061 · pith_short_12: CKGDW6WXLMVE · pith_short_16: CKGDW6WXLMVEGXPC · pith_short_8: CKGDW6WX

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/CKGDW6WXLMVEGXPCWKBW4LSV22 \
  | 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: 128c3b7ad75b2a435de2b2836e2e55d6a10dd925d394c27245449dc523ca1efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0b0700517db9166047d97c3f9159667441acb0ad943f2132d7fd10e9dde37bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-31T01:28:12Z",
    "title_canon_sha256": "31376d1e5e38e292224f2f5d35f847c030a272f85c1c650efd61c1804bc743b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00061",
    "kind": "arxiv",
    "version": 1
  }
}