Pith Number

pith:OXLW2YKW

pith:2016:OXLW2YKWWWGHNN2ILDMUSHOWR7

not attested not anchored not stored refs pending

Algebraic Birkhoff conjecture for billiards on Sphere and Hyperbolic plane

Andrey E. Mironov, Michael (Misha) Bialy

arxiv:1602.05698 v1 · 2016-02-18 · math.DG · math.DS · 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{OXLW2YKWWWGHNN2ILDMUSHOWR7}

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	2026-05-18T01:20:23.472406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75d76d6156b58c76b74858d9491dd68fcc24500a36bde0f8fd6667016cdb6745

Aliases

arxiv: 1602.05698 · arxiv_version: 1602.05698v1 · doi: 10.48550/arxiv.1602.05698 · pith_short_12: OXLW2YKWWWGH · pith_short_16: OXLW2YKWWWGHNN2I · pith_short_8: OXLW2YKW

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/OXLW2YKWWWGHNN2ILDMUSHOWR7 \
  | 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: 75d76d6156b58c76b74858d9491dd68fcc24500a36bde0f8fd6667016cdb6745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9a70f3a5cd8ec81f8213d73cebe1b19240a3ea4cffe9797aaae0aa7591f619",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-18T07:23:02Z",
    "title_canon_sha256": "c7cc286160268920b1c6988cb1a8d1a4b2f0fe87d53f9177aed20fb417524fbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05698",
    "kind": "arxiv",
    "version": 1
  }
}