Pith Number

pith:GKMUMVJL

pith:2005:GKMUMVJLVDWBORT42MLIKNXE6G

not attested not anchored not stored refs pending

Iterated function systems, Ruelle operators, and invariant projective measures

Dorin Ervin Dutkay, Palle E.T. Jorgensen

arxiv:math/0501077 v3 · 2005-01-06 · math.DS · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKMUMVJLVDWBORT42MLIKNXE6G}

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	2026-05-18T01:38:26.984483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

329946552ba8ec17467cd3168536e4f186cffa2338bce464a4f4bacbf35d9ee2

Aliases

arxiv: math/0501077 · arxiv_version: math/0501077v3 · doi: 10.48550/arxiv.math/0501077 · pith_short_12: GKMUMVJLVDWB · pith_short_16: GKMUMVJLVDWBORT4 · pith_short_8: GKMUMVJL

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/GKMUMVJLVDWBORT42MLIKNXE6G \
  | 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: 329946552ba8ec17467cd3168536e4f186cffa2338bce464a4f4bacbf35d9ee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63930bb466455c894c050259728c748c21ad9490588b04924e657ce63f7c08d6",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-01-06T00:58:02Z",
    "title_canon_sha256": "45a4950615e69f11e5f7810a6dc51f2e8a7ad92084d9b61cfe79b6672872f986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501077",
    "kind": "arxiv",
    "version": 3
  }
}