Pith Number

pith:CDYMRNJ6

pith:2013:CDYMRNJ6HAJAKSTVBWT7KBH2QK

not attested not anchored not stored refs pending

Rigorous pointwise approximations for invariant densities of nonuniformly expanding maps

Christopher Bose, Wael Bahsoun, Yuejiao Duan

arxiv:1301.4033 v2 · 2013-01-17 · 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{CDYMRNJ6HAJAKSTVBWT7KBH2QK}

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	2026-05-18T03:18:06.212444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10f0c8b53e3812054a750da7f504fa828a494dbb27a93b489e7a48a7bb57b892

Aliases

arxiv: 1301.4033 · arxiv_version: 1301.4033v2 · doi: 10.48550/arxiv.1301.4033 · pith_short_12: CDYMRNJ6HAJA · pith_short_16: CDYMRNJ6HAJAKSTV · pith_short_8: CDYMRNJ6

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/CDYMRNJ6HAJAKSTVBWT7KBH2QK \
  | 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: 10f0c8b53e3812054a750da7f504fa828a494dbb27a93b489e7a48a7bb57b892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5a723c889b429a8615f0d6bffebeee101a058759d21621c3b745b5536fb1fc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-17T10:14:50Z",
    "title_canon_sha256": "394a6d9685aa24ddaca688ce19ebf7a50f6eab60a00f3e83464fd537e947132f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4033",
    "kind": "arxiv",
    "version": 2
  }
}