Pith Number

pith:ZNKXGCOJ

pith:2019:ZNKXGCOJDTSVWU5X3WKYCOFVFU

not attested not anchored not stored refs pending

Base phi representations and golden mean beta-expansions

Michel Dekking

arxiv:1906.08437 v1 · 2019-06-20 · 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{ZNKXGCOJDTSVWU5X3WKYCOFVFU}

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	2026-05-17T23:42:52.471587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb557309c91ce55b53b7dd958138b52d1dd882a46fc7837cf27047684f8b495f

Aliases

arxiv: 1906.08437 · arxiv_version: 1906.08437v1 · doi: 10.48550/arxiv.1906.08437 · pith_short_12: ZNKXGCOJDTSV · pith_short_16: ZNKXGCOJDTSVWU5X · pith_short_8: ZNKXGCOJ

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/ZNKXGCOJDTSVWU5X3WKYCOFVFU \
  | 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: cb557309c91ce55b53b7dd958138b52d1dd882a46fc7837cf27047684f8b495f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69ab6795359adfe031c02b52ed109b47e1d86426cecfcb0a98d00a7f406f4ae8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-20T04:15:34Z",
    "title_canon_sha256": "74342ccf69cad12c98fc4c9f0c7c55ff85ad35bc640691ace5d795ee54eb30df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08437",
    "kind": "arxiv",
    "version": 1
  }
}