Pith Number

pith:EJWIY56K

pith:2016:EJWIY56KC3HGA5LETETCXGUWVE

not attested not anchored not stored refs pending

Singular analytic linear cocycles with negative infinite Lyapunov exponents

Christian Sadel, Disheng Xu

arxiv:1601.06118 v2 · 2016-01-22 · 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{EJWIY56KC3HGA5LETETCXGUWVE}

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	2026-05-18T00:21:29.305997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

226c8c77ca16ce60756499262b9a96a9259e5aaad9ed93cb24bc239c0f46d99e

Aliases

arxiv: 1601.06118 · arxiv_version: 1601.06118v2 · doi: 10.48550/arxiv.1601.06118 · pith_short_12: EJWIY56KC3HG · pith_short_16: EJWIY56KC3HGA5LE · pith_short_8: EJWIY56K

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/EJWIY56KC3HGA5LETETCXGUWVE \
  | 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: 226c8c77ca16ce60756499262b9a96a9259e5aaad9ed93cb24bc239c0f46d99e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577cecee8a34cd5ec0b7f400e0af6d82cb490ce3552e31e3ead668308558920f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-22T19:29:10Z",
    "title_canon_sha256": "566a218239ff82835bcd1e54cd4c855fafaf8bebe14484f503367ea1d5855788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06118",
    "kind": "arxiv",
    "version": 2
  }
}