Pith Number

pith:QEZTK6UO

pith:2013:QEZTK6UOMTYCKHBMJDNPU345XM

not attested not anchored not stored refs pending

Powers in Lucas Sequences via Galois Representations

Isabel Vogt, Jesse Silliman

arxiv:1307.5078 v2 · 2013-07-18 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QEZTK6UOMTYCKHBMJDNPU345XM}

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	2026-05-18T03:17:44.002730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8133357a8e64f0251c2c48dafa6f9dbb2de27f07b485d1e31088906944400e6e

Aliases

arxiv: 1307.5078 · arxiv_version: 1307.5078v2 · doi: 10.48550/arxiv.1307.5078 · pith_short_12: QEZTK6UOMTYC · pith_short_16: QEZTK6UOMTYCKHBM · pith_short_8: QEZTK6UO

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/QEZTK6UOMTYCKHBMJDNPU345XM \
  | 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: 8133357a8e64f0251c2c48dafa6f9dbb2de27f07b485d1e31088906944400e6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfed756fdce25d9996e4c564faac7c34b4bebee85f7f4ad1ad468e64246c4aa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-18T20:45:08Z",
    "title_canon_sha256": "713e66891af5bbdac996a94df79e5df41a86035b7a920e1b00ce8418ec09cbec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5078",
    "kind": "arxiv",
    "version": 2
  }
}