Pith Number

pith:6GKFKJH6

pith:2022:6GKFKJH6ANFOGRENZLKCWH32XJ

not attested not anchored not stored refs pending

A general framework for the rigorous computation of invariant densities and the coarse-fine strategy

Federico Poloni, Isaia Nisoli, Maurizio Monge, Stefano Galatolo

arxiv:2212.05017 v2 · 2022-12-09 · math.DS · cs.NA · math.NA · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GKFKJH6ANFOGRENZLKCWH32XJ}

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	2026-07-05T05:58:01.832761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1945524fe034ae3448dcad42b1f7aba5b6d38f95f44c745da8649df7d4ce4a6

Aliases

arxiv: 2212.05017 · arxiv_version: 2212.05017v2 · doi: 10.48550/arxiv.2212.05017 · pith_short_12: 6GKFKJH6ANFO · pith_short_16: 6GKFKJH6ANFOGREN · pith_short_8: 6GKFKJH6

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/6GKFKJH6ANFOGRENZLKCWH32XJ \
  | 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: f1945524fe034ae3448dcad42b1f7aba5b6d38f95f44c745da8649df7d4ce4a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1044ecfc0d740949e9881106fbeb62fb4e25b13189d073a08ac5803c87985c57",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-12-09T18:08:51Z",
    "title_canon_sha256": "1bd0a6807d76e4b238ff6e7c071ee43c8fcf78f2da7842e8c041b911cf01ca5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.05017",
    "kind": "arxiv",
    "version": 2
  }
}