Pith Number

pith:KLS76PA5

pith:2015:KLS76PA5DFU5BB3MCN3E6P7SPG

not attested not anchored not stored refs pending

Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics

Sophie Morier-Genoud

arxiv:1503.05049 v2 · 2015-03-17 · 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{KLS76PA5DFU5BB3MCN3E6P7SPG}

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	2026-05-18T00:44:28.425421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52e5ff3c1d1969d0876c13764f3ff279a866d4a4c59e7e273e6a2eb0445ed4d5

Aliases

arxiv: 1503.05049 · arxiv_version: 1503.05049v2 · doi: 10.48550/arxiv.1503.05049 · pith_short_12: KLS76PA5DFU5 · pith_short_16: KLS76PA5DFU5BB3M · pith_short_8: KLS76PA5

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/KLS76PA5DFU5BB3MCN3E6P7SPG \
  | 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: 52e5ff3c1d1969d0876c13764f3ff279a866d4a4c59e7e273e6a2eb0445ed4d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b11489afa57128b9fa7494ccbc0992417fa09242053204c9841569fd2e2061d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-17T13:55:06Z",
    "title_canon_sha256": "24f63706ec3c60ae2fb8ac788ef3d073ca7652f750f16c912ff2a3e6f139f45c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05049",
    "kind": "arxiv",
    "version": 2
  }
}