Pith Number

pith:4ZRTXDM7

pith:2018:4ZRTXDM7P5FVBC77EDMVRUFYEW

not attested not anchored not stored refs pending

Zeckendorf representations with at most two terms to x-coordinates of Pell equations

Carlos Alexis G\'omez, Florian Luca

arxiv:1803.10732 v1 · 2018-03-28 · 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{4ZRTXDM7P5FVBC77EDMVRUFYEW}

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	2026-05-18T00:19:54.286156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6633b8d9f7f4b508bff20d958d0b825b3d4b2ed063d5d4b493292506cfc48f8

Aliases

arxiv: 1803.10732 · arxiv_version: 1803.10732v1 · doi: 10.48550/arxiv.1803.10732 · pith_short_12: 4ZRTXDM7P5FV · pith_short_16: 4ZRTXDM7P5FVBC77 · pith_short_8: 4ZRTXDM7

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/4ZRTXDM7P5FVBC77EDMVRUFYEW \
  | 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: e6633b8d9f7f4b508bff20d958d0b825b3d4b2ed063d5d4b493292506cfc48f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e59a74fc5b297321bb1c543381c047a4d5830c003ffb6f0e88c10cc0c97eff96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-28T17:19:51Z",
    "title_canon_sha256": "13b62dd56df230c5f97bb86d4e67de5dad169946d865efbc55c5c6309a7f651c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10732",
    "kind": "arxiv",
    "version": 1
  }
}