Pith Number

pith:QPNQRGAL

pith:2026:QPNQRGALO36RMJHDEAHQWU6HPS

not attested not anchored not stored refs pending

Continuous eigenvalues of minimal subshifts via S-adic representations and coboundaries

Basti\'an Espinoza, Paulina Cecchi-Bernales, Val\'erie Berth\'e

arxiv:2602.04833 v2 · 2026-02-04 · 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{QPNQRGALO36RMJHDEAHQWU6HPS}

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	2026-07-29T01:24:28.950464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83db08980b76fd1624e3200f0b53c77cb0d11f7cd33095b1402d5e891fd2b779

Aliases

arxiv: 2602.04833 · arxiv_version: 2602.04833v2 · doi: 10.48550/arxiv.2602.04833 · pith_short_12: QPNQRGALO36R · pith_short_16: QPNQRGALO36RMJHD · pith_short_8: QPNQRGAL

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/QPNQRGALO36RMJHDEAHQWU6HPS \
  | 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: 83db08980b76fd1624e3200f0b53c77cb0d11f7cd33095b1402d5e891fd2b779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbcc84b3cfacfef52cba561b2dcb1b2c80f76eed3d2df01bc9d8c4d980c5f62d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-02-04T18:24:51Z",
    "title_canon_sha256": "e4be3a68be3d9e3a99851ab7d265997dd986813a6867295bf370b190a91240d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.04833",
    "kind": "arxiv",
    "version": 2
  }
}