Pith Number

pith:EXAXUFGX

pith:2015:EXAXUFGX7XWITAU7XTE2Y6KOQH

not attested not anchored not stored refs pending

On small bases for which $1$ has countably many expansions

Jian Lu, Lijin Wang, Simon Baker, Yuru Zou

arxiv:1502.07212 v1 · 2015-02-25 · 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{EXAXUFGX7XWITAU7XTE2Y6KOQH}

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	2026-05-18T01:21:55.728730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c17a14d7fdec89829fbcc9ac794e81da1c8c22d7efeaaa564907bc14288a40

Aliases

arxiv: 1502.07212 · arxiv_version: 1502.07212v1 · doi: 10.48550/arxiv.1502.07212 · pith_short_12: EXAXUFGX7XWI · pith_short_16: EXAXUFGX7XWITAU7 · pith_short_8: EXAXUFGX

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/EXAXUFGX7XWITAU7XTE2Y6KOQH \
  | 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: 25c17a14d7fdec89829fbcc9ac794e81da1c8c22d7efeaaa564907bc14288a40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7b49059cc142a8dc327d642fc6930aa6e995e99a8b56c7292063d126e024626",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-25T15:45:24Z",
    "title_canon_sha256": "3df27474a21676d84a1c4f126cbd98c5aeb38be8b38575686449bd5680b4bcf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07212",
    "kind": "arxiv",
    "version": 1
  }
}