Pith Number

pith:OC43PPPC

pith:2013:OC43PPPCAC4D46V2IBP4VOMB32

not attested not anchored not stored refs pending

A Generalization of Fibonacci Far-Difference Representations and Gaussian Behavior

Archit Kulkarni, Philippe Demontigny, Steven J. Miller, Thao Do, Umang Varma

arxiv:1309.5600 v3 · 2013-09-22 · 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{OC43PPPCAC4D46V2IBP4VOMB32}

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	2026-05-18T02:52:12.423406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70b9b7bde200b83e7aba405fcab981de8f3b22f78e20e5c9f5055531882cb464

Aliases

arxiv: 1309.5600 · arxiv_version: 1309.5600v3 · doi: 10.48550/arxiv.1309.5600 · pith_short_12: OC43PPPCAC4D · pith_short_16: OC43PPPCAC4D46V2 · pith_short_8: OC43PPPC

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/OC43PPPCAC4D46V2IBP4VOMB32 \
  | 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: 70b9b7bde200b83e7aba405fcab981de8f3b22f78e20e5c9f5055531882cb464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9401187f2abfeeb451c00e30ac1e208f55c98d7fb98b001b11ac464b6aa6ebe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-22T13:43:41Z",
    "title_canon_sha256": "02cf5b352c8a8ba2ecb8b5c5fff1b0184309fd65c623c8f4298eeb6be7f0d970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5600",
    "kind": "arxiv",
    "version": 3
  }
}