Pith Number

pith:TDCC4IPE

pith:2010:TDCC4IPEHZLGJOXN4JHCUKUKNN

not attested not anchored not stored refs pending

Statistical properties of nonuniformly expanding 1d maps with logarithmic singularities

Hiroki Takahasi

arxiv:1009.5015 v1 · 2010-09-25 · 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{TDCC4IPEHZLGJOXN4JHCUKUKNN}

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	2026-05-18T04:03:07.301799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98c42e21e43e5664baede24e2a2a8a6b5158f4b39565de6b79f9fd90df9ecf30

Aliases

arxiv: 1009.5015 · arxiv_version: 1009.5015v1 · doi: 10.48550/arxiv.1009.5015 · pith_short_12: TDCC4IPEHZLG · pith_short_16: TDCC4IPEHZLGJOXN · pith_short_8: TDCC4IPE

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/TDCC4IPEHZLGJOXN4JHCUKUKNN \
  | 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: 98c42e21e43e5664baede24e2a2a8a6b5158f4b39565de6b79f9fd90df9ecf30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbd993a9351d5474f6cec505730da4aaba5cc47737cd5284789a379be6321793",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-25T14:06:07Z",
    "title_canon_sha256": "d8e8d385ab32599f8dc0c3002fd5f2e93710f4ef48b66751b0a7b8e10e4c1bf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5015",
    "kind": "arxiv",
    "version": 1
  }
}