Pith Number

pith:TZT4X7MS

pith:2016:TZT4X7MSKCIUY4UZCGBMC2FSXF

not attested not anchored not stored refs pending

Algebraic non-integrability of magnetic billiards

Andrey E. Mironov, Michael (Misha) Bialy

arxiv:1605.03372 v1 · 2016-05-11 · 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{TZT4X7MSKCIUY4UZCGBMC2FSXF}

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	2026-05-18T01:15:05.506360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e67cbfd9250914c72991182c168b2b969a184f49423c1ddafbcbd087169908d

Aliases

arxiv: 1605.03372 · arxiv_version: 1605.03372v1 · doi: 10.48550/arxiv.1605.03372 · pith_short_12: TZT4X7MSKCIU · pith_short_16: TZT4X7MSKCIUY4UZ · pith_short_8: TZT4X7MS

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/TZT4X7MSKCIUY4UZCGBMC2FSXF \
  | 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: 9e67cbfd9250914c72991182c168b2b969a184f49423c1ddafbcbd087169908d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e12d2aadaf9247944c50a616dcbfcbac1764cff3c94edd8394700c30452ee631",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-11T10:55:54Z",
    "title_canon_sha256": "a7be35a82d8f212a423409d86dc87f0c4c8a285208b4e8f7641dda286c6bfda7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03372",
    "kind": "arxiv",
    "version": 1
  }
}