Pith Number

pith:D33ZNIYF

pith:2024:D33ZNIYF7SUPY6QFIEMOLMWAZJ

not attested not anchored not stored refs pending

Global smooth rigidity for toral automorphisms

Boris Kalinin, Victoria Sadovskaya, Zhenqi Wang

arxiv:2407.13877 v1 · 2024-07-18 · 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{D33ZNIYF7SUPY6QFIEMOLMWAZJ}

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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

Invariant distributions of partially hyperbolic systems: fractal graphs, excessive regularity, and rigidity

Receipt and verification

First computed	2026-07-05T08:45:54.558961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef796a305fca8fc7a054118e5b2c0ca5b4573f7e13cd43681fb1f5a82e35330

Aliases

arxiv: 2407.13877 · arxiv_version: 2407.13877v1 · doi: 10.48550/arxiv.2407.13877 · pith_short_12: D33ZNIYF7SUP · pith_short_16: D33ZNIYF7SUPY6QF · pith_short_8: D33ZNIYF

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/D33ZNIYF7SUPY6QFIEMOLMWAZJ \
  | 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: 1ef796a305fca8fc7a054118e5b2c0ca5b4573f7e13cd43681fb1f5a82e35330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "686c6f4047447e4ec5264d7a7c555c0f2d7052d5e6a70c465a70c882aedacea9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-07-18T19:50:36Z",
    "title_canon_sha256": "440bf4794dd6fdf42a607f6497d103e06bc7125317d62b222e637867b663114b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.13877",
    "kind": "arxiv",
    "version": 1
  }
}