Pith Number

pith:I5VDY4DK

pith:2026:I5VDY4DKZVLKCJEWPZADKBR6ZZ

not attested not anchored not stored refs pending

Positive dyadic density for rational weighted binary expansions

Han Wang, Jose Maria Grau ribas

arxiv:2606.24972 v1 · 2026-06-23 · 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{I5VDY4DKZVLKCJEWPZADKBR6ZZ}

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	2026-06-25T00:17:47.234573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

476a3c706acd56a124967e4035063ece612eae3177ca08a9af475e721bba75b8

Aliases

arxiv: 2606.24972 · arxiv_version: 2606.24972v1 · doi: 10.48550/arxiv.2606.24972 · pith_short_12: I5VDY4DKZVLK · pith_short_16: I5VDY4DKZVLKCJEW · pith_short_8: I5VDY4DK

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/I5VDY4DKZVLKCJEWPZADKBR6ZZ \
  | 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: 476a3c706acd56a124967e4035063ece612eae3177ca08a9af475e721bba75b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e811099156d582f988df4ea4763a6a035e9fa7886d794b99235bf0d5f7e29df8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-23T11:45:11Z",
    "title_canon_sha256": "9742be0eebd79a0c9ac04541910f7147ce85d6bacc8dced5a36c2a46b04c9cbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24972",
    "kind": "arxiv",
    "version": 1
  }
}