Pith Number

pith:Q3UDUCX6

pith:2006:Q3UDUCX6Z5HOBMC4AXNW4XDP5R

not attested not anchored not stored refs pending

Fibonacci numbers and orthogonal polynomials

Christian Berg

arxiv:math/0609283 v2 · 2006-09-11 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3UDUCX6Z5HOBMC4AXNW4XDP5R}

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	2026-05-18T04:42:34.668423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86e83a0afecf4ee0b05c05db6e5c6fec4ce80b611c983dc8c071bd81f627d760

Aliases

arxiv: math/0609283 · arxiv_version: math/0609283v2 · doi: 10.48550/arxiv.math/0609283 · pith_short_12: Q3UDUCX6Z5HO · pith_short_16: Q3UDUCX6Z5HOBMC4 · pith_short_8: Q3UDUCX6

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/Q3UDUCX6Z5HOBMC4AXNW4XDP5R \
  | 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: 86e83a0afecf4ee0b05c05db6e5c6fec4ce80b611c983dc8c071bd81f627d760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42f48a7c587daf180221ec552b3a63a8c8d2a020ce82df779ed5f31bba324156",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2006-09-11T10:37:42Z",
    "title_canon_sha256": "05e22b6a01156ab539d4d1575314eaeea04cd4271d02803bb164ccc4e171c80c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609283",
    "kind": "arxiv",
    "version": 2
  }
}