Pith Number

pith:UZU3II3K

pith:2014:UZU3II3KTLCA333224FE2IMKCM

not attested not anchored not stored refs pending

Elementary approach to closed billiard trajectories in asymmetric normed spaces

Alexey M. Balitskiy, Anastasia Sharipova, Arseniy V. Akopyan, Roman N. Karasev

arxiv:1401.0442 v4 · 2014-01-02 · math.MG · 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{UZU3II3KTLCA333224FE2IMKCM}

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	2026-05-18T01:08:21.533356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a669b4236a9ac40def7ad70a4d218a1310f4f5a92fcd5a0f9ef50d6448219b60

Aliases

arxiv: 1401.0442 · arxiv_version: 1401.0442v4 · doi: 10.48550/arxiv.1401.0442 · pith_short_12: UZU3II3KTLCA · pith_short_16: UZU3II3KTLCA3332 · pith_short_8: UZU3II3K

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/UZU3II3KTLCA333224FE2IMKCM \
  | 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: a669b4236a9ac40def7ad70a4d218a1310f4f5a92fcd5a0f9ef50d6448219b60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76a1b5858e1c620520aa3171ea38d55413905fd1e060d516a4add49b3ab5fed",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-01-02T14:05:48Z",
    "title_canon_sha256": "d641270d2ead150a7ea7782779605456253f9b69c7d6b89eeb9cdbfb66e16873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0442",
    "kind": "arxiv",
    "version": 4
  }
}