Pith Number

pith:YLLMQYM3

pith:2012:YLLMQYM3T34YSUUMMCZSTJT6PC

not attested not anchored not stored refs pending

The Average Gap Distribution for Generalized Zeckendorf Decompositions

Amanda Bower, Louis Gaudet, Olivia Beckwith, Philip Tosteson, Rachel Insoft, Shiyu Li, Steven J. Miller

arxiv:1208.5820 v3 · 2012-08-29 · 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{YLLMQYM3T34YSUUMMCZSTJT6PC}

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	2026-05-18T03:38:43.636195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2d6c8619b9ef989528c60b329a67e788837f6aae1187b60d72990b77965c8e9

Aliases

arxiv: 1208.5820 · arxiv_version: 1208.5820v3 · doi: 10.48550/arxiv.1208.5820 · pith_short_12: YLLMQYM3T34Y · pith_short_16: YLLMQYM3T34YSUUM · pith_short_8: YLLMQYM3

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/YLLMQYM3T34YSUUMMCZSTJT6PC \
  | 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: c2d6c8619b9ef989528c60b329a67e788837f6aae1187b60d72990b77965c8e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06c7d3c5e81c70c8f682517505b6db48b776c31fe9523228803bda0b3b423ce5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-29T01:42:15Z",
    "title_canon_sha256": "af24db0097ccb9d60f1e591ffd663dd5a13df9f25fdefaac4e2909ade5edaf65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5820",
    "kind": "arxiv",
    "version": 3
  }
}