Pith Number

pith:TJ4HSIWF

pith:2018:TJ4HSIWFOPCNYU5OS6BVHGLBHA

not attested not anchored not stored refs pending

$p$-adic dynamical systems of $(3,1)$-rational functions with unique fixed point

A.R. Luna, I.A. Sattarov, U.A. Rozikov

arxiv:1807.11561 v2 · 2018-07-27 · 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{TJ4HSIWFOPCNYU5OS6BVHGLBHA}

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	2026-05-18T00:06:01.224724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a787922c573c4dc53ae97835399613821574034fa76e54da74356122dc09354

Aliases

arxiv: 1807.11561 · arxiv_version: 1807.11561v2 · doi: 10.48550/arxiv.1807.11561 · pith_short_12: TJ4HSIWFOPCN · pith_short_16: TJ4HSIWFOPCNYU5O · pith_short_8: TJ4HSIWF

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/TJ4HSIWFOPCNYU5OS6BVHGLBHA \
  | 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: 9a787922c573c4dc53ae97835399613821574034fa76e54da74356122dc09354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f046fb45879cf0dfee2d1a43882b7a4cc6348468462a09c78c74c04227e5c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-27T05:57:58Z",
    "title_canon_sha256": "e743037b50881eb7aa780f5e3ebad65f878d6acc09b6a1ed2d896b4f903bbc5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11561",
    "kind": "arxiv",
    "version": 2
  }
}