Pith Number

pith:SBY3IAJM

pith:2018:SBY3IAJMIFV7US6VULE4AXQ72I

not attested not anchored not stored refs pending

Ergodicity of non-autonomous discrete systems with non-uniform expansion

Abbas Fakhari, Pablo G. Barrientos

arxiv:1811.08922 v1 · 2018-11-21 · 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{SBY3IAJMIFV7US6VULE4AXQ72I}

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	2026-05-18T00:00:07.608367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9071b4012c416bfa4bd5a2c9c05e1fd219a6afac93837ccecb160b77f823e18a

Aliases

arxiv: 1811.08922 · arxiv_version: 1811.08922v1 · doi: 10.48550/arxiv.1811.08922 · pith_short_12: SBY3IAJMIFV7 · pith_short_16: SBY3IAJMIFV7US6V · pith_short_8: SBY3IAJM

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/SBY3IAJMIFV7US6VULE4AXQ72I \
  | 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: 9071b4012c416bfa4bd5a2c9c05e1fd219a6afac93837ccecb160b77f823e18a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f27d837e94fb576624caa81ac88fe67cdaa13ee8c235cfb670533b2c684dc30c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-11-21T19:35:49Z",
    "title_canon_sha256": "3b29ca9a0d7f075eaba598bf6c52537d4b0ff4663b211af0a87849e3b30dfe96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08922",
    "kind": "arxiv",
    "version": 1
  }
}