Pith Number

pith:FPTKSDWC

pith:2013:FPTKSDWCEOIIA74QT7HKBLNI3J

not attested not anchored not stored refs pending

Galois conjugates of entropies of real unimodal maps

Giulio Tiozzo

arxiv:1310.7647 v2 · 2013-10-28 · 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{FPTKSDWCEOIIA74QT7HKBLNI3J}

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	2026-05-18T02:50:42.775476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2be6a90ec22390807f909fcea0ada8da47ea849ebda2263d3dd7b261e66ed6af

Aliases

arxiv: 1310.7647 · arxiv_version: 1310.7647v2 · doi: 10.48550/arxiv.1310.7647 · pith_short_12: FPTKSDWCEOII · pith_short_16: FPTKSDWCEOIIA74Q · pith_short_8: FPTKSDWC

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/FPTKSDWCEOIIA74QT7HKBLNI3J \
  | 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: 2be6a90ec22390807f909fcea0ada8da47ea849ebda2263d3dd7b261e66ed6af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa1a78ec8f75eaee1b7c3320348a672712fe1065b71dbc58ae43af9dd1816eec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-10-28T23:40:59Z",
    "title_canon_sha256": "048e3c95fb58837e2437479f8b7adea4522ecf0149db7090490889f3071165d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7647",
    "kind": "arxiv",
    "version": 2
  }
}