Pith Number

pith:PJFZRWZQ

pith:2017:PJFZRWZQ2XU5IAIMINF3ZQTWFL

not attested not anchored not stored refs pending

Automorphisms of Toeplitz $\mathscr{B}$-free systems

Aurelia Bartnicka

arxiv:1705.07021 v1 · 2017-05-19 · 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{PJFZRWZQ2XU5IAIMINF3ZQTWFL}

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	2026-05-18T00:44:10.787425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4b98db30d5e9d4010c434bbcc2762ad979391357cde689b05f2e71c522d027

Aliases

arxiv: 1705.07021 · arxiv_version: 1705.07021v1 · doi: 10.48550/arxiv.1705.07021 · pith_short_12: PJFZRWZQ2XU5 · pith_short_16: PJFZRWZQ2XU5IAIM · pith_short_8: PJFZRWZQ

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/PJFZRWZQ2XU5IAIMINF3ZQTWFL \
  | 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: 7a4b98db30d5e9d4010c434bbcc2762ad979391357cde689b05f2e71c522d027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d48eddb7977b17bb02e7a674cca1958d5340b2df2cf6ff399ec2ba274f990e03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-19T14:30:11Z",
    "title_canon_sha256": "8de8832baf2df7d1bf8ccf07b153e0a5bc6733a24cbcdf0af1b1a370edfa8f57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07021",
    "kind": "arxiv",
    "version": 1
  }
}