Pith Number

pith:QIRDTTXM

pith:2018:QIRDTTXMB4JOXBTUQTO42J5GFX

not attested not anchored not stored refs pending

Partitioned Factors in Christoffel and Sturmian Words

David Clampitt, Norman Carey

arxiv:1804.08724 v2 · 2018-04-23 · 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{QIRDTTXMB4JOXBTUQTO42J5GFX}

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	2026-05-18T00:14:48.173287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

822239ceec0f12eb867484ddcd27a62dffdf8b89d57a069c32304c5906d98707

Aliases

arxiv: 1804.08724 · arxiv_version: 1804.08724v2 · doi: 10.48550/arxiv.1804.08724 · pith_short_12: QIRDTTXMB4JO · pith_short_16: QIRDTTXMB4JOXBTU · pith_short_8: QIRDTTXM

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/QIRDTTXMB4JOXBTUQTO42J5GFX \
  | 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: 822239ceec0f12eb867484ddcd27a62dffdf8b89d57a069c32304c5906d98707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7c1dd7bad97ac1457ef4365cbfce786b083ae1d282adaabd9296e02ef998066",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-23T20:29:16Z",
    "title_canon_sha256": "5b735520ba9e106d3da6f57d2bb43817293ad34f867c336da6e9b61084b57cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08724",
    "kind": "arxiv",
    "version": 2
  }
}