Pith Number

pith:A52RJHQM

pith:2015:A52RJHQM7KNNA3RG5XMCGLO73H

not attested not anchored not stored refs pending

On unconventional limit sets of contractive functions on $\mathbb Z_p$

Farrukh Mukhamedov, Otabek Khakimov

arxiv:1510.03739 v1 · 2015-10-13 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A52RJHQM7KNNA3RG5XMCGLO73H}

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	2026-05-18T01:30:16.289802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0775149e0cfa9ad06e26edd8232ddfd9f70de8922a4d36ac78d68109e0cea888

Aliases

arxiv: 1510.03739 · arxiv_version: 1510.03739v1 · doi: 10.48550/arxiv.1510.03739 · pith_short_12: A52RJHQM7KNN · pith_short_16: A52RJHQM7KNNA3RG · pith_short_8: A52RJHQM

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/A52RJHQM7KNNA3RG5XMCGLO73H \
  | 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: 0775149e0cfa9ad06e26edd8232ddfd9f70de8922a4d36ac78d68109e0cea888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2761d988ba6062e1c4413d4c0f4c1fa68549bcd470b8b7448e08e439623e9509",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-13T15:20:44Z",
    "title_canon_sha256": "0887205d41ac541c55d320798b758cac07df3ae5335db8378df725831dce4c86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03739",
    "kind": "arxiv",
    "version": 1
  }
}