Pith Number

pith:B7DLLEOS

pith:2018:B7DLLEOSDI6RU3O3JSFQGBNASW

not attested not anchored not stored refs pending

Local rigidity of Lyapunov spectrum for toral automorphisms

Andrey Gogolev, Boris Kalinin, Victoria Sadovskaya

arxiv:1808.06249 v1 · 2018-08-19 · 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{B7DLLEOSDI6RU3O3JSFQGBNASW}

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	2026-05-18T00:07:39.619257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fc6b591d21a3d1a6ddb4c8b0305a09598e1d73f19182b380cbb680da7993fe0

Aliases

arxiv: 1808.06249 · arxiv_version: 1808.06249v1 · doi: 10.48550/arxiv.1808.06249 · pith_short_12: B7DLLEOSDI6R · pith_short_16: B7DLLEOSDI6RU3O3 · pith_short_8: B7DLLEOS

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/B7DLLEOSDI6RU3O3JSFQGBNASW \
  | 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: 0fc6b591d21a3d1a6ddb4c8b0305a09598e1d73f19182b380cbb680da7993fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5e5924d533c72d39a939d39f05af5e25e361ce7769e06ba3a6f43c84c2307b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-19T19:54:09Z",
    "title_canon_sha256": "9c65fbaaeca3ded810988a3ccd7a0f0ac3d5918cddad25bc4874cd3c73279d3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06249",
    "kind": "arxiv",
    "version": 1
  }
}