Pith Number

pith:NIBG7VUP

pith:2013:NIBG7VUPRA2XRA7LYGAMMSELRY

not attested not anchored not stored refs pending

Non-conformal repellers and the continuity of pressure for matrix cocycles

De-Jun Feng, Pablo Shmerkin

arxiv:1311.4241 v2 · 2013-11-18 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIBG7VUPRA2XRA7LYGAMMSELRY}

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	2026-05-18T01:27:46.740431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a026fd68f88357883ebc180c6488b8e19f2b4dd26b186364c508762e0688831

Aliases

arxiv: 1311.4241 · arxiv_version: 1311.4241v2 · doi: 10.48550/arxiv.1311.4241 · pith_short_12: NIBG7VUPRA2X · pith_short_16: NIBG7VUPRA2XRA7L · pith_short_8: NIBG7VUP

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/NIBG7VUPRA2XRA7LYGAMMSELRY \
  | 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: 6a026fd68f88357883ebc180c6488b8e19f2b4dd26b186364c508762e0688831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ba5d9cd2d66a8e132c10762498e40b0e766ab7748a09b689f5d4f260938bd46",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-18T01:33:29Z",
    "title_canon_sha256": "85f71e2ef9dc7a62632c4983dce9104811c8540bbd1c1b68a85278c3597cf49e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4241",
    "kind": "arxiv",
    "version": 2
  }
}