Pith Number

pith:VBU4ASF3

pith:2025:VBU4ASF357HATUNDFBFLUXT5W5

not attested not anchored not stored refs pending

On finitely many base $q$ expansions

George Bender, Simon Baker

arxiv:2501.09582 v1 · 2025-01-16 · math.DS · 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{VBU4ASF357HATUNDFBFLUXT5W5}

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.

Cited by

1 paper in Pith

The matrix potential game and structures of self-affine sets

Receipt and verification

First computed	2026-07-05T10:01:49.335742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a869c048bbefce09d1a3284aba5e7db766d82071ea6eba42b14fd45a95945d15

Aliases

arxiv: 2501.09582 · arxiv_version: 2501.09582v1 · doi: 10.48550/arxiv.2501.09582 · pith_short_12: VBU4ASF357HA · pith_short_16: VBU4ASF357HATUND · pith_short_8: VBU4ASF3

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/VBU4ASF357HATUNDFBFLUXT5W5 \
  | 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: a869c048bbefce09d1a3284aba5e7db766d82071ea6eba42b14fd45a95945d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "083040c822494ea9b4d8ad9cce674e77e594503452afceac4ee3ca859b681cea",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-01-16T15:05:01Z",
    "title_canon_sha256": "f2003f11de45257172d7513c1ea57b62d643f1b993c51abd175139d2de53689b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09582",
    "kind": "arxiv",
    "version": 1
  }
}