Pith Number

pith:7TTHQTKJ

pith:2014:7TTHQTKJO4GSWZXEL3DFXAKV56

not attested not anchored not stored refs pending

Divisors and specializations of Lucas polynomials

Mahir Bilen Can, Melanie Jensen, Tewodros Amdeberhan

arxiv:1406.0432 v3 · 2014-06-02 · 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{7TTHQTKJO4GSWZXEL3DFXAKV56}

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	2026-05-18T02:42:52.538060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce6784d49770d2b66e45ec65b8155ef91627880e5b84aeb5c9930020c323a62

Aliases

arxiv: 1406.0432 · arxiv_version: 1406.0432v3 · doi: 10.48550/arxiv.1406.0432 · pith_short_12: 7TTHQTKJO4GS · pith_short_16: 7TTHQTKJO4GSWZXE · pith_short_8: 7TTHQTKJ

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/7TTHQTKJO4GSWZXEL3DFXAKV56 \
  | 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: fce6784d49770d2b66e45ec65b8155ef91627880e5b84aeb5c9930020c323a62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0625095b4a0c00e3ee962cdf350dac3f6b52670194072d7685731a50acba898",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-02T16:28:11Z",
    "title_canon_sha256": "ac30ca46314d1bfcefb7b892bd74d7cbe7a6182ba7323c42332db77edaf1e178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0432",
    "kind": "arxiv",
    "version": 3
  }
}