Pith Number

pith:FXOVNIGL

pith:2017:FXOVNIGLQOTURPVCMGUU6W7YSE

not attested not anchored not stored refs pending

Gutkin billiard tables in higher dimensions and rigidity

Michael Bialy

arxiv:1710.02919 v1 · 2017-10-09 · math.DG · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXOVNIGLQOTURPVCMGUU6W7YSE}

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	2026-05-18T00:16:30.998534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ddd56a0cb83a748bea261a94f5bf89104a1bdd0ebdbfce5fb9b1dffcd5d426e

Aliases

arxiv: 1710.02919 · arxiv_version: 1710.02919v1 · doi: 10.48550/arxiv.1710.02919 · pith_short_12: FXOVNIGLQOTU · pith_short_16: FXOVNIGLQOTURPVC · pith_short_8: FXOVNIGL

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/FXOVNIGLQOTURPVCMGUU6W7YSE \
  | 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: 2ddd56a0cb83a748bea261a94f5bf89104a1bdd0ebdbfce5fb9b1dffcd5d426e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ad871d30c7e1076df2abd57d62e67c6e9b278a682ea83b0339f3561011201b",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-10-09T02:53:02Z",
    "title_canon_sha256": "646f2c6af4dd9d902c38df3696e6aec0387968b8d2ec686cde84bfb0446886e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02919",
    "kind": "arxiv",
    "version": 1
  }
}