Pith Number

pith:VJ3IHJNY

pith:2019:VJ3IHJNY7HC2Y6JRLMGFGFEM2P

not attested not anchored not stored refs pending

Arnoux-Rauzy interval exchange transformations

Julien Cassaigne, Pascal Hubert, Pierre Arnoux, S\'ebastien Ferenczi

arxiv:1906.09408 v1 · 2019-06-22 · 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{VJ3IHJNY7HC2Y6JRLMGFGFEM2P}

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	2026-05-17T23:42:38.210016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa7683a5b8f9c5ac79315b0c53148cd3e8d8fbada06c58448b6d17014483710c

Aliases

arxiv: 1906.09408 · arxiv_version: 1906.09408v1 · doi: 10.48550/arxiv.1906.09408 · pith_short_12: VJ3IHJNY7HC2 · pith_short_16: VJ3IHJNY7HC2Y6JR · pith_short_8: VJ3IHJNY

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/VJ3IHJNY7HC2Y6JRLMGFGFEM2P \
  | 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: aa7683a5b8f9c5ac79315b0c53148cd3e8d8fbada06c58448b6d17014483710c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f4c5e4062cd3cfa2a40db07d51de6a641b2c28cdd353b53e933e92177e6115e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-22T07:59:18Z",
    "title_canon_sha256": "559d880ec9894fe9bf55c4d34e1317c3f274557023e4312d395a4bb6417d8655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09408",
    "kind": "arxiv",
    "version": 1
  }
}