Pith Number

pith:2RK5BXRE

pith:2017:2RK5BXREECSFTOF3O324VBGBSD

not attested not anchored not stored refs pending

Follower, Predecessor, and Extender Set Sequences of $\beta$-Shifts

Thomas French

arxiv:1701.01173 v1 · 2017-01-04 · 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{2RK5BXREECSFTOF3O324VBGBSD}

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	2026-05-18T00:53:20.240492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d455d0de2420a459b8bb76f5ca84c190e252ff4ea6c385ee9b3b0dbd8ce536ef

Aliases

arxiv: 1701.01173 · arxiv_version: 1701.01173v1 · doi: 10.48550/arxiv.1701.01173 · pith_short_12: 2RK5BXREECSF · pith_short_16: 2RK5BXREECSFTOF3 · pith_short_8: 2RK5BXRE

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/2RK5BXREECSFTOF3O324VBGBSD \
  | 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: d455d0de2420a459b8bb76f5ca84c190e252ff4ea6c385ee9b3b0dbd8ce536ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bcf4a78d8f8163bfa4713d1ead7a97283d8018b5d4e85c2940711e229cbd6a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-04T22:31:35Z",
    "title_canon_sha256": "2724e22545a07a39710fe9197f534c47201fb703244e95b1a0a141b7b1135a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01173",
    "kind": "arxiv",
    "version": 1
  }
}