Pith Number

pith:LMOTWCD4

pith:2017:LMOTWCD4Q6PYPLRJVJU3FSBP2Y

not attested not anchored not stored refs pending

On polynomially integrable Birkhoff billiards on surfaces of constant curvature

Alexey Glutsyuk

arxiv:1706.04030 v7 · 2017-06-13 · 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{LMOTWCD4Q6PYPLRJVJU3FSBP2Y}

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	2026-05-17T23:53:01.488992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b1d3b087c879f87ae29aa69b2c82fd615566a2c7b5c1f40a5fd739ef6b1b619

Aliases

arxiv: 1706.04030 · arxiv_version: 1706.04030v7 · doi: 10.48550/arxiv.1706.04030 · pith_short_12: LMOTWCD4Q6PY · pith_short_16: LMOTWCD4Q6PYPLRJ · pith_short_8: LMOTWCD4

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/LMOTWCD4Q6PYPLRJVJU3FSBP2Y \
  | 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: 5b1d3b087c879f87ae29aa69b2c82fd615566a2c7b5c1f40a5fd739ef6b1b619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10c3b0b4f8c0ee865b41258f01452df431a30a16464e08e93e74469c5d016bb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-13T12:52:37Z",
    "title_canon_sha256": "996bcfc428f42fa504410a4f0d1eb801b5d44753f15030aac307a7ad3ad9965b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04030",
    "kind": "arxiv",
    "version": 7
  }
}