Pith Number

pith:AFFP7H6B

pith:2010:AFFP7H6BOCG64WDV5THW3A6QCI

not attested not anchored not stored refs pending

Statistical properties of one-dimensional maps under weak hyperbolicity assumptions

Juan Rivera-Letelier, Weixiao Shen

arxiv:1004.0230 v3 · 2010-04-01 · 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{AFFP7H6BOCG64WDV5THW3A6QCI}

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	2026-05-18T02:50:01.143248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

014aff9fc1708dee5875eccf6d83d0123945fc5ee1e8438cf6bae95b6a964b7a

Aliases

arxiv: 1004.0230 · arxiv_version: 1004.0230v3 · doi: 10.48550/arxiv.1004.0230 · pith_short_12: AFFP7H6BOCG6 · pith_short_16: AFFP7H6BOCG64WDV · pith_short_8: AFFP7H6B

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/AFFP7H6BOCG64WDV5THW3A6QCI \
  | 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: 014aff9fc1708dee5875eccf6d83d0123945fc5ee1e8438cf6bae95b6a964b7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c467bf7ac1e5043f5b240a5614cb1dba231b70b4a7c20faa99e265de5b0bcea1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-04-01T20:47:30Z",
    "title_canon_sha256": "a9496f44467387a30e27fd1875d08de5682813aba2b982f1505b6d1a17893484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0230",
    "kind": "arxiv",
    "version": 3
  }
}