Pith Number

pith:JEDBZRX7

pith:2011:JEDBZRX7RT7RTD2NZX3E4VO5V3

not attested not anchored not stored refs pending

Periodicity of Rauzy scheme and substitutional systems

Alexei Kanel-Belov, Ivan Mitrofanov

arxiv:1107.0185 v3 · 2011-07-01 · math.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEDBZRX7RT7RTD2NZX3E4VO5V3}

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	2026-05-18T03:50:59.175537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49061cc6ff8cff198f4dcdf64e55ddaed0ef33e91238a52eb143f93e79202eba

Aliases

arxiv: 1107.0185 · arxiv_version: 1107.0185v3 · doi: 10.48550/arxiv.1107.0185 · pith_short_12: JEDBZRX7RT7R · pith_short_16: JEDBZRX7RT7RTD2N · pith_short_8: JEDBZRX7

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/JEDBZRX7RT7RTD2NZX3E4VO5V3 \
  | 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: 49061cc6ff8cff198f4dcdf64e55ddaed0ef33e91238a52eb143f93e79202eba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbd03b2e4a86a40fdbc7308ffde2fd8038c53010256a5c3f1faa874c15caeb90",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-01T10:30:00Z",
    "title_canon_sha256": "17f774613817c279a6040a72ef9ddaa07f518f25d9c67e5c81c14e3965ecb60d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0185",
    "kind": "arxiv",
    "version": 3
  }
}