Pith Number

pith:B5UUDS7Q

pith:2020:B5UUDS7QWK7JBD5FCWQKTEY47F

not attested not anchored not stored refs pending

The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables

Andrey E. Mironov, Misha Bialy

arxiv:2008.03566 v4 · 2020-08-08 · math.DS · math.DG · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5UUDS7QWK7JBD5FCWQKTEY47F}

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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	2026-07-05T04:00:11.689997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f6941cbf0b2be908fa515a0a9931cf940e29829cc144952ba6011a3a90ee0a6

Aliases

arxiv: 2008.03566 · arxiv_version: 2008.03566v4 · doi: 10.48550/arxiv.2008.03566 · pith_short_12: B5UUDS7QWK7J · pith_short_16: B5UUDS7QWK7JBD5F · pith_short_8: B5UUDS7Q

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/B5UUDS7QWK7JBD5FCWQKTEY47F \
  | 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: 0f6941cbf0b2be908fa515a0a9931cf940e29829cc144952ba6011a3a90ee0a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d69636dfac20cb4ca2734e123690ee6270c3e319734d4fd2c586b74ed92a2606",
    "cross_cats_sorted": [
      "math.DG",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-08-08T17:59:52Z",
    "title_canon_sha256": "8dae421e9f4e77fbfa67d365065fba4e7e9b5ca451d007916e3b8e179a928552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.03566",
    "kind": "arxiv",
    "version": 4
  }
}