Pith Number

pith:RGAAMM5Q

pith:2009:RGAAMM5QTY4FCSS3AWKRSDYMHS

not attested not anchored not stored refs pending

Typical points for one-parameter families of piecewise expanding maps of the interval

Daniel Schnellmann

arxiv:0911.5411 v3 · 2009-11-28 · 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{RGAAMM5QTY4FCSS3AWKRSDYMHS}

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	2026-05-18T04:18:04.853281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89800633b09e38514a5b0595190f0c3c9fe9a0dcbdbb0feb24f7c554cb4a36af

Aliases

arxiv: 0911.5411 · arxiv_version: 0911.5411v3 · doi: 10.48550/arxiv.0911.5411 · pith_short_12: RGAAMM5QTY4F · pith_short_16: RGAAMM5QTY4FCSS3 · pith_short_8: RGAAMM5Q

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/RGAAMM5QTY4FCSS3AWKRSDYMHS \
  | 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: 89800633b09e38514a5b0595190f0c3c9fe9a0dcbdbb0feb24f7c554cb4a36af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a708366688118444a82bdecf90978a5b6dab96bfdfc1003245619144252ebf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-11-28T19:08:41Z",
    "title_canon_sha256": "d71e730a08ed311fce72380012431fb180a9e0c3653bae587b09b5a7d85b1978"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5411",
    "kind": "arxiv",
    "version": 3
  }
}