Pith Number

pith:FQZBIQXO

pith:2018:FQZBIQXOGEJ2SVLGYNEHA7FS2Z

not attested not anchored not stored refs pending

Periodic points in random substitution subshifts

Dan Rust

arxiv:1808.05934 v1 · 2018-08-17 · 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{FQZBIQXOGEJ2SVLGYNEHA7FS2Z}

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	2026-05-18T00:07:51.611154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c321442ee3113a95566c348707cb2d65a0189e5e16f9b5ab544c07e59a212c7

Aliases

arxiv: 1808.05934 · arxiv_version: 1808.05934v1 · doi: 10.48550/arxiv.1808.05934 · pith_short_12: FQZBIQXOGEJ2 · pith_short_16: FQZBIQXOGEJ2SVLG · pith_short_8: FQZBIQXO

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/FQZBIQXOGEJ2SVLGYNEHA7FS2Z \
  | 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: 2c321442ee3113a95566c348707cb2d65a0189e5e16f9b5ab544c07e59a212c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c5a0c623835058b56376528d832506ff32d2f39f870cdbd5ad690675776167",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-17T17:20:09Z",
    "title_canon_sha256": "f5b3bcf6715024464d6ad3ab15c0f7b689889e91709632207cd7c0d0300a299d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05934",
    "kind": "arxiv",
    "version": 1
  }
}