Pith Number

pith:AMRBT7XT

pith:2017:AMRBT7XTXKN3IEQTVU24ZXUIBJ

not attested not anchored not stored refs pending

Frieze patterns over integers and other subsets of the complex numbers

Michael Cuntz, Thorsten Holm

arxiv:1711.03724 v2 · 2017-11-10 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMRBT7XTXKN3IEQTVU24ZXUIBJ}

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	2026-05-17T23:58:25.174192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

032219fef3ba9bb41213ad35ccde880a42337e0ed1c6fb4939a74a0f49153be6

Aliases

arxiv: 1711.03724 · arxiv_version: 1711.03724v2 · doi: 10.48550/arxiv.1711.03724 · pith_short_12: AMRBT7XTXKN3 · pith_short_16: AMRBT7XTXKN3IEQT · pith_short_8: AMRBT7XT

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/AMRBT7XTXKN3IEQTVU24ZXUIBJ \
  | 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: 032219fef3ba9bb41213ad35ccde880a42337e0ed1c6fb4939a74a0f49153be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b747154cf7341a5ce19134213119cae43eef899323a3db4550766b3abe7df68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-10T08:31:34Z",
    "title_canon_sha256": "28b90b9f189441340a90dfd5e379e3305c57942a943c3ca577b0cc50b35e92ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03724",
    "kind": "arxiv",
    "version": 2
  }
}