Pith Number

pith:PFKETDRB

pith:2017:PFKETDRB5VJ5THTSDSC4Y3MHOX

not attested not anchored not stored refs pending

Bases in which some numbers have exactly two expansions

Derong Kong, Vilmos Komornik

arxiv:1705.00473 v2 · 2017-05-01 · 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{PFKETDRB5VJ5THTSDSC4Y3MHOX}

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	2026-05-18T00:11:00.588898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7954498e21ed53d99e721c85cc6d8775cd9faef2886a93896b06c3ab315b1531

Aliases

arxiv: 1705.00473 · arxiv_version: 1705.00473v2 · doi: 10.48550/arxiv.1705.00473 · pith_short_12: PFKETDRB5VJ5 · pith_short_16: PFKETDRB5VJ5THTS · pith_short_8: PFKETDRB

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/PFKETDRB5VJ5THTSDSC4Y3MHOX \
  | 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: 7954498e21ed53d99e721c85cc6d8775cd9faef2886a93896b06c3ab315b1531

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d839aa2ed2e92bd7f11ea509cd266182fd6c773941702134588fe8f403891d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-01T11:17:05Z",
    "title_canon_sha256": "efce4a030ed35faf88c57c3dbb65b33611d0b1967c235b8df2b87f80de7786cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00473",
    "kind": "arxiv",
    "version": 2
  }
}