Pith Number

pith:ETZ2DF7I

pith:2013:ETZ2DF7IMDC5A6JTQU4RY7JGDI

not attested not anchored not stored refs pending

Rauzy fractals with countable fundamental group

Beno\^it Loridant, Jun Luo, Timo Jolivet

arxiv:1312.7829 v3 · 2013-12-30 · math.DS · cs.DM · 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{ETZ2DF7IMDC5A6JTQU4RY7JGDI}

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	2026-05-18T01:19:18.866194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24f3a197e860c5d0793385391c7d261a36051401d0451301bfa0b1968f7d9b4f

Aliases

arxiv: 1312.7829 · arxiv_version: 1312.7829v3 · doi: 10.48550/arxiv.1312.7829 · pith_short_12: ETZ2DF7IMDC5 · pith_short_16: ETZ2DF7IMDC5A6JT · pith_short_8: ETZ2DF7I

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/ETZ2DF7IMDC5A6JTQU4RY7JGDI \
  | 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: 24f3a197e860c5d0793385391c7d261a36051401d0451301bfa0b1968f7d9b4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab949934b783117f5bd3eb68118c197d828d5d9bfafedf705db80a5d6daecd1",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-30T19:14:33Z",
    "title_canon_sha256": "590b3b4762f62be1b2f4bf032f4ba68d4104dbabe691ee9f2b878caed2779b29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7829",
    "kind": "arxiv",
    "version": 3
  }
}