Pith Number

pith:EZ6B5EMA

pith:2022:EZ6B5EMAV5FZKBF54EQGLKMPHN

not attested not anchored not stored refs pending

Tangent ray foliations and their associated outer billiards

Marcos Salvai, Michael Harrison, Yamile Godoy

arxiv:2205.04443 v1 · 2022-05-09 · math.GT · math.DG · 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{EZ6B5EMAV5FZKBF54EQGLKMPHN}

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	2026-07-05T04:21:25.118928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

267c1e9180af4b9504bde12065a98f3b4f9044504f6dcb310db460396f0ee8d7

Aliases

arxiv: 2205.04443 · arxiv_version: 2205.04443v1 · doi: 10.48550/arxiv.2205.04443 · pith_short_12: EZ6B5EMAV5FZ · pith_short_16: EZ6B5EMAV5FZKBF5 · pith_short_8: EZ6B5EMA

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/EZ6B5EMAV5FZKBF54EQGLKMPHN \
  | 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: 267c1e9180af4b9504bde12065a98f3b4f9044504f6dcb310db460396f0ee8d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39abab23ac369b3fcf12171bce12822fb1bd38e775069c638df4f6cf9cec620d",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-05-09T17:45:10Z",
    "title_canon_sha256": "47fdbf502bdaf9e6c2ae37456ab3f45a1144cb6f51bec658ed092361859c3d37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.04443",
    "kind": "arxiv",
    "version": 1
  }
}