Pith Number

pith:T7BA2C7A

pith:2014:T7BA2C7A6LQ53CGGS63SYJ2Z76

not attested not anchored not stored refs pending

Three Series for the Generalized Golden Mean

Helmut Prodinger, Jeffrey Shallit, Kevin Hare

arxiv:1401.6200 v1 · 2014-01-23 · math.NT · 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{T7BA2C7A6LQ53CGGS63SYJ2Z76}

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	2026-05-18T03:01:12.909984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fc20d0be0f2e1dd88c697b72c2759ff9a03e89fe3984401aaa71d3d56960cf9

Aliases

arxiv: 1401.6200 · arxiv_version: 1401.6200v1 · doi: 10.48550/arxiv.1401.6200 · pith_short_12: T7BA2C7A6LQ5 · pith_short_16: T7BA2C7A6LQ53CGG · pith_short_8: T7BA2C7A

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/T7BA2C7A6LQ53CGGS63SYJ2Z76 \
  | 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: 9fc20d0be0f2e1dd88c697b72c2759ff9a03e89fe3984401aaa71d3d56960cf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12faeb493cbe262e1a977db012336cc0df8d40c05ce238edcbe526e4cb9ffeab",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-23T21:59:59Z",
    "title_canon_sha256": "ae15ca4640c12c57e4d6dbcbd15b03d067170205a84a98b74ad9def7e1d64a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6200",
    "kind": "arxiv",
    "version": 1
  }
}