Pith Number

pith:LSVSRZDY

pith:2015:LSVSRZDY23KXUCEJKSW73WG4SW

not attested not anchored not stored refs pending

Joint spectral radius, Sturmian measures, and the finiteness conjecture

Mark Pollicott, Oliver Jenkinson

arxiv:1501.03419 v4 · 2015-01-14 · 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{LSVSRZDY23KXUCEJKSW73WG4SW}

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	2026-05-18T00:51:03.458955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cab28e478d6d57a088954adfdd8dc959da5f29e81edc013fb5cdcd37ba900a2

Aliases

arxiv: 1501.03419 · arxiv_version: 1501.03419v4 · doi: 10.48550/arxiv.1501.03419 · pith_short_12: LSVSRZDY23KX · pith_short_16: LSVSRZDY23KXUCEJ · pith_short_8: LSVSRZDY

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/LSVSRZDY23KXUCEJKSW73WG4SW \
  | 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: 5cab28e478d6d57a088954adfdd8dc959da5f29e81edc013fb5cdcd37ba900a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "796c153d00bfca27b5fbdcc1f159538bbc0d31b739c0ddf2c0b66b5f1dca8697",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-14T17:32:00Z",
    "title_canon_sha256": "0ba843f4c4c68a40caa825341a439868d4a35da9dfdd37f53dc67aed5bd2e63a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03419",
    "kind": "arxiv",
    "version": 4
  }
}