Pith Number

pith:2HAK4AMK

pith:2016:2HAK4AMK2EJC5BWILXXTUBSMCI

not attested not anchored not stored refs pending

Thermodynamic formalism and $k$-bonacci substitutions

AMU), Jordan Emme (I2M

arxiv:1602.08340 v2 · 2016-02-26 · math.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HAK4AMK2EJC5BWILXXTUBSMCI}

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	2026-05-18T00:32:21.487136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1c0ae018ad1122e86c85def3a064c122eaf0626c2ec992483534ea785554a33

Aliases

arxiv: 1602.08340 · arxiv_version: 1602.08340v2 · doi: 10.48550/arxiv.1602.08340 · pith_short_12: 2HAK4AMK2EJC · pith_short_16: 2HAK4AMK2EJC5BWI · pith_short_8: 2HAK4AMK

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/2HAK4AMK2EJC5BWILXXTUBSMCI \
  | 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: d1c0ae018ad1122e86c85def3a064c122eaf0626c2ec992483534ea785554a33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9286b827986e809e3c2c76d7eec29b558d93d3980c4910b649b5043f8281ebc5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-02-26T14:23:23Z",
    "title_canon_sha256": "31ca838a233878a30f63cda1191080a913ae10be8508f193ac72332381a8f7ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08340",
    "kind": "arxiv",
    "version": 2
  }
}