Pith Number

pith:7AX5TDEB

pith:2005:7AX5TDEBMFPCOIPJ54CBUM57FC

not attested not anchored not stored refs pending

Almost Sure Invariance Principle For Nonuniformly Hyperbolic Systems

Ian Melbourne, Matthew Nicol

arxiv:math/0503693 v1 · 2005-03-29 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AX5TDEBMFPCOIPJ54CBUM57FC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:31:48.833424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f82fd98c81615e2721e9ef041a33bf28bc65b2401bc9e9d128dd8f3529385860

Aliases

arxiv: math/0503693 · arxiv_version: math/0503693v1 · doi: 10.48550/arxiv.math/0503693 · pith_short_12: 7AX5TDEBMFPC · pith_short_16: 7AX5TDEBMFPCOIPJ · pith_short_8: 7AX5TDEB

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/7AX5TDEBMFPCOIPJ54CBUM57FC \
  | 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: f82fd98c81615e2721e9ef041a33bf28bc65b2401bc9e9d128dd8f3529385860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b86ec3ae58564951562b21ce45928adebf5253ec3e2a6853e6addec5a318ba70",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-03-29T19:28:54Z",
    "title_canon_sha256": "fc057606d5863df67ca46ebd853f93196f650812541d50535fc4fa20b5701dd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503693",
    "kind": "arxiv",
    "version": 1
  }
}