Pith Number

pith:Q7WL33US

pith:2015:Q7WL33USOEOJRWF3C7UFNUAWP5

not attested not anchored not stored refs pending

Regular sequences and the joint spectral radius

Michael Coons

arxiv:1511.07535 v1 · 2015-11-24 · math.CO · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7WL33USOEOJRWF3C7UFNUAWP5}

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	2026-05-18T01:26:04.496469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87ecbdee92711c98d8bb17e856d0167f777cde9b32c355ee490a147546b8f832

Aliases

arxiv: 1511.07535 · arxiv_version: 1511.07535v1 · doi: 10.48550/arxiv.1511.07535 · pith_short_12: Q7WL33USOEOJ · pith_short_16: Q7WL33USOEOJRWF3 · pith_short_8: Q7WL33US

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/Q7WL33USOEOJRWF3C7UFNUAWP5 \
  | 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: 87ecbdee92711c98d8bb17e856d0167f777cde9b32c355ee490a147546b8f832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b30383981c03ecaaa223e6ff4e1d5014fa1723a5734bcdafb57f1e7668a5c75",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-24T01:50:53Z",
    "title_canon_sha256": "85c88d7ae758cbee2c554e236354f9e525d832ceacc502dc4656af394ef34ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07535",
    "kind": "arxiv",
    "version": 1
  }
}