Pith Number

pith:4XXS6KP6

pith:2019:4XXS6KP6UPXWI5JUCAXIILORNW

not attested not anchored not stored refs pending

An entire function connected with the approximation of the golden ratio

Anton A. Kutsenko

arxiv:1906.01059 v3 · 2019-06-03 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XXS6KP6UPXWI5JUCAXIILORNW}

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	2026-05-17T23:43:49.109998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ef2f29fea3ef647534102e842dd16dbd4e3a94d0013bc9942afde6d01e3fb7

Aliases

arxiv: 1906.01059 · arxiv_version: 1906.01059v3 · doi: 10.48550/arxiv.1906.01059 · pith_short_12: 4XXS6KP6UPXW · pith_short_16: 4XXS6KP6UPXWI5JU · pith_short_8: 4XXS6KP6

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/4XXS6KP6UPXWI5JUCAXIILORNW \
  | 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: e5ef2f29fea3ef647534102e842dd16dbd4e3a94d0013bc9942afde6d01e3fb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77ffea38e7d97e1bf4cb92d65772e889c2834ef7f910c1c8cde9f0135c741add",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-06-03T20:12:27Z",
    "title_canon_sha256": "557c4536ff5e24d311a49bcfe804f17781ae7cd8b2aa74b6886a57db244c93e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01059",
    "kind": "arxiv",
    "version": 3
  }
}