Pith Number

pith:QF7LPQS4

pith:2015:QF7LPQS4IP3CDEXWHA5D2EHHHF

not attested not anchored not stored refs pending

Eigenvalues of Toeplitz minimal systems of finite topological rank

Alejandro Maass (CMM), Alexander Frank (CMM), Fabien Durand (LAMFA)

arxiv:1507.06879 v1 · 2015-07-24 · 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{QF7LPQS4IP3CDEXWHA5D2EHHHF}

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	2026-05-18T01:28:03.882651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817eb7c25c43f62192f6383a3d10e7395c6ee1a30940e02d8dbfd424ceaf7717

Aliases

arxiv: 1507.06879 · arxiv_version: 1507.06879v1 · doi: 10.48550/arxiv.1507.06879 · pith_short_12: QF7LPQS4IP3C · pith_short_16: QF7LPQS4IP3CDEXW · pith_short_8: QF7LPQS4

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/QF7LPQS4IP3CDEXWHA5D2EHHHF \
  | 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: 817eb7c25c43f62192f6383a3d10e7395c6ee1a30940e02d8dbfd424ceaf7717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e5c18619da8e9c7138609ee4719ae4844dbe5050fb5682c195ce758d795ea6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-24T15:17:58Z",
    "title_canon_sha256": "7ffb3864d82860bec436818a076dc5ee1f44936014b8de94c3211ec86ce75182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06879",
    "kind": "arxiv",
    "version": 1
  }
}