Pith Number

pith:CTN557ZO

pith:2010:CTN557ZOEEYBGQGYTDJNM7VE4R

not attested not anchored not stored refs pending

Arnold Tongues and Feigenbaum Exponents of the Rational Mapping for Q-state Potts Model on Recursive Lattice: Q<2

L. A. Chakhmakhchyan, L. N. Ananikyan, N. S. Ananikian

arxiv:1012.2011 v2 · 2010-12-09 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTN557ZOEEYBGQGYTDJNM7VE4R}

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	2026-05-18T04:28:19.780721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14dbdeff2e21301340d898d2d67ea4e475f027d9fc42ab22e9b4c45e1545a66f

Aliases

arxiv: 1012.2011 · arxiv_version: 1012.2011v2 · doi: 10.48550/arxiv.1012.2011 · pith_short_12: CTN557ZOEEYB · pith_short_16: CTN557ZOEEYBGQGY · pith_short_8: CTN557ZO

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/CTN557ZOEEYBGQGYTDJNM7VE4R \
  | 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: 14dbdeff2e21301340d898d2d67ea4e475f027d9fc42ab22e9b4c45e1545a66f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd5963ac9cb94f9ac5991a29d23b993f0165e758cde1a323f7076ea2ac8df27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-09T14:19:52Z",
    "title_canon_sha256": "2e1a3c9cb0c1503bf0d0f46a05103e994bd74c6806326bcec65acb701664c4dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2011",
    "kind": "arxiv",
    "version": 2
  }
}