Pith Number

pith:KZ46ZYFG

pith:2021:KZ46ZYFGOPSZ3KROQPJQF733SL

not attested not anchored not stored refs pending

On some Refraction Billiards

Irene De Blasi, Susanna Terracini

arxiv:2108.11159 v1 · 2021-08-25 · 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{KZ46ZYFGOPSZ3KROQPJQF733SL}

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.

Cited by

1 paper in Pith

From bungee to $C^1$ and $C^0$ Hamiltonian systems and their integrability and nonintegrability

Receipt and verification

First computed	2026-07-05T03:08:50.061643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5679ece0a673e59daa2e83d302ff7b92fba21ddb3b2992565c493bd2e0ff9e17

Aliases

arxiv: 2108.11159 · arxiv_version: 2108.11159v1 · doi: 10.48550/arxiv.2108.11159 · pith_short_12: KZ46ZYFGOPSZ · pith_short_16: KZ46ZYFGOPSZ3KRO · pith_short_8: KZ46ZYFG

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/KZ46ZYFGOPSZ3KROQPJQF733SL \
  | 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: 5679ece0a673e59daa2e83d302ff7b92fba21ddb3b2992565c493bd2e0ff9e17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a9bd90d630c53db1dff93aeb448b85ba88977882e33ad409995112a144ac8db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-08-25T10:19:35Z",
    "title_canon_sha256": "626871f0401cc46a60a69cf6bffe25123b1194f20c950de79df35c771bc06ed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.11159",
    "kind": "arxiv",
    "version": 1
  }
}