Pith Number

pith:VRBHMOGV

pith:2018:VRBHMOGVOYJLVVIDFE2C5AVID4

not attested not anchored not stored refs pending

Open and closed factors of Arnoux-Rauzy words

Luca Zamboni, Olga Parshina

arxiv:1810.05472 v2 · 2018-10-12 · 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{VRBHMOGVOYJLVVIDFE2C5AVID4}

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	2026-05-17T23:52:33.745638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac427638d57612bad50329342e82a81f2224e17f1e5e8a19bddb3aa761d631e5

Aliases

arxiv: 1810.05472 · arxiv_version: 1810.05472v2 · doi: 10.48550/arxiv.1810.05472 · pith_short_12: VRBHMOGVOYJL · pith_short_16: VRBHMOGVOYJLVVID · pith_short_8: VRBHMOGV

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/VRBHMOGVOYJLVVIDFE2C5AVID4 \
  | 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: ac427638d57612bad50329342e82a81f2224e17f1e5e8a19bddb3aa761d631e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed28ac38dd5643778a6457690abf3220d2fabda642fe7da0b201e2e7047e72d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-12T12:17:47Z",
    "title_canon_sha256": "e925484a55dadabcc21867b335abb3d3cc905e2b8866d7004ac673140d6ac9ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05472",
    "kind": "arxiv",
    "version": 2
  }
}