Pith Number

pith:HRLJG3IQ

pith:2024:HRLJG3IQKWVDJONCDKO6YYLORF

not attested not anchored not stored refs pending

Ulam's method for computing stationary densities of invariant measures for piecewise convex maps with countably infinite number of branches

A H M Mahbubur Rahman, Md Shafiqul Islam, Pawe{\l} G\'ora

arxiv:2405.02729 v1 · 2024-05-04 · 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{HRLJG3IQKWVDJONCDKO6YYLORF}

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	2026-07-05T08:15:53.095662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c56936d1055aa34b9a21a9dec616e89769ec398d96e9edcc55e27153f1c8d21

Aliases

arxiv: 2405.02729 · arxiv_version: 2405.02729v1 · doi: 10.48550/arxiv.2405.02729 · pith_short_12: HRLJG3IQKWVD · pith_short_16: HRLJG3IQKWVDJONC · pith_short_8: HRLJG3IQ

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/HRLJG3IQKWVDJONCDKO6YYLORF \
  | 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: 3c56936d1055aa34b9a21a9dec616e89769ec398d96e9edcc55e27153f1c8d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa3b4d47669fc444c9c429e5e122c359707ca1e028e7f4c65bff4a90f77db043",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-05-04T18:16:20Z",
    "title_canon_sha256": "0f91df81be032b43fc1055d20b340cf302dfc886de91e8f543394295fc545ee0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.02729",
    "kind": "arxiv",
    "version": 1
  }
}