Pith Number

pith:UZENUIB4

pith:2011:UZENUIB4HD6DSSRD6LSO2ZXMUW

not attested not anchored not stored refs pending

Lee-Yang-Fisher zeros for DHL and 2D rational dynamics, II. Global Pluripotential Interpretation

Mikhail Lyubich, Pavel Bleher, Roland Roeder

arxiv:1107.5764 v4 · 2011-07-28 · math.DS · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZENUIB4HD6DSSRD6LSO2ZXMUW}

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	2026-05-17T23:52:34.576804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a648da203c38fc394a23f2e4ed66eca5885fcaa8c244218655b3f7a45e325f43

Aliases

arxiv: 1107.5764 · arxiv_version: 1107.5764v4 · doi: 10.48550/arxiv.1107.5764 · pith_short_12: UZENUIB4HD6D · pith_short_16: UZENUIB4HD6DSSRD · pith_short_8: UZENUIB4

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/UZENUIB4HD6DSSRD6LSO2ZXMUW \
  | 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: a648da203c38fc394a23f2e4ed66eca5885fcaa8c244218655b3f7a45e325f43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69021d5529313257e54c977ee11decb4c5b1b1d5cd36215dbeb1805b92edd3eb",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-28T16:51:10Z",
    "title_canon_sha256": "e11eddd26956f8f718cdacfa0ab8d3ce3c810c0f7bb5109aa92fc96127ddc270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5764",
    "kind": "arxiv",
    "version": 4
  }
}