Pith Number

pith:EG32ER7C

pith:2017:EG32ER7C72MBRP3AHPRY7X4U3R

not attested not anchored not stored refs pending

On the density of intermediate \beta-shifts of finite type

Bing Li, Tony Samuel, Tuomas Sahlsten, Wolfgang Steiner

arxiv:1709.08035 v1 · 2017-09-23 · 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{EG32ER7C72MBRP3AHPRY7X4U3R}

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	2026-05-17T23:54:07.564070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21b7a247e2fe9818bf603be38fdf94dc501f4fec68252581615bd10be727e860

Aliases

arxiv: 1709.08035 · arxiv_version: 1709.08035v1 · doi: 10.48550/arxiv.1709.08035 · pith_short_12: EG32ER7C72MB · pith_short_16: EG32ER7C72MBRP3A · pith_short_8: EG32ER7C

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/EG32ER7C72MBRP3AHPRY7X4U3R \
  | 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: 21b7a247e2fe9818bf603be38fdf94dc501f4fec68252581615bd10be727e860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9f330f33c03f2229c1fe625c2f557e32b5e9485b5e3e90218281d1d72e2e9ef",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-23T10:58:40Z",
    "title_canon_sha256": "d40b74835453794829272391f7378570a7cd073919617d62539ceddfb7b57878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08035",
    "kind": "arxiv",
    "version": 1
  }
}