Pith Number

pith:Y7JI3V4K

pith:2017:Y7JI3V4K26NI7KZHWLZ4B5WNBE

not attested not anchored not stored refs pending

Bifurcation sets arising from non-integer base expansions

Derong Kong, Pieter Allaart, Simon Baker

arxiv:1706.05190 v4 · 2017-06-16 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7JI3V4K26NI7KZHWLZ4B5WNBE}

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	2026-05-18T00:11:00.534757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7d28dd78ad79a8fab27b2f3c0f6cd093760176d39f23f58db562c95b01264bf

Aliases

arxiv: 1706.05190 · arxiv_version: 1706.05190v4 · doi: 10.48550/arxiv.1706.05190 · pith_short_12: Y7JI3V4K26NI · pith_short_16: Y7JI3V4K26NI7KZH · pith_short_8: Y7JI3V4K

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/Y7JI3V4K26NI7KZHWLZ4B5WNBE \
  | 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: c7d28dd78ad79a8fab27b2f3c0f6cd093760176d39f23f58db562c95b01264bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b097a64c15fbb4ff6498714a659546130f04ebd80984e70e1fa42f75f67cdf2",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-16T09:12:55Z",
    "title_canon_sha256": "65c60eaca226bb9573dc655b03248e22f862b42e1a04bad17a8dcbf2d970aa41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05190",
    "kind": "arxiv",
    "version": 4
  }
}