Pith Number

pith:JAEZOYPB

pith:2012:JAEZOYPB5S7YCBCILKCWH26YE4

not attested not anchored not stored refs pending

Statistical Distributions and $q$-Analogues of $k$-Fibonacci Numbers

Adam M. Goyt, Brady L. Keller, Jonathan E. Rue

arxiv:1207.3266 v1 · 2012-07-13 · 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{JAEZOYPB5S7YCBCILKCWH26YE4}

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	2026-05-18T03:51:02.884769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48099761e1ecbf8104485a8563ebd82733f8df901932d087c0ae7ff8f3cbf75a

Aliases

arxiv: 1207.3266 · arxiv_version: 1207.3266v1 · doi: 10.48550/arxiv.1207.3266 · pith_short_12: JAEZOYPB5S7Y · pith_short_16: JAEZOYPB5S7YCBCI · pith_short_8: JAEZOYPB

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/JAEZOYPB5S7YCBCILKCWH26YE4 \
  | 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: 48099761e1ecbf8104485a8563ebd82733f8df901932d087c0ae7ff8f3cbf75a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0893182022f68742069f7bb10b8b1baa979f09fb9d00e89d0479edf782fe16be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-13T14:52:44Z",
    "title_canon_sha256": "7508054811be9beab29908ecc83d572a77f5f8a756aa676b1a873ad9c2261032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3266",
    "kind": "arxiv",
    "version": 1
  }
}