Pith Number

pith:TOJC7E4B

pith:2015:TOJC7E4BTOJR6GCZQ5ETXL6YFF

not attested not anchored not stored refs pending

Irreducible euclidean representations of Fibonacci groups

Rafa{\l} Lutowski

arxiv:1507.08849 v1 · 2015-07-31 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOJC7E4BTOJR6GCZQ5ETXL6YFF}

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	2026-05-18T01:36:02.729866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b922f93819b931f185987493bafd8295a5f60a31931f1485b8c179d7ffcbe76

Aliases

arxiv: 1507.08849 · arxiv_version: 1507.08849v1 · doi: 10.48550/arxiv.1507.08849 · pith_short_12: TOJC7E4BTOJR · pith_short_16: TOJC7E4BTOJR6GCZ · pith_short_8: TOJC7E4B

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/TOJC7E4BTOJR6GCZQ5ETXL6YFF \
  | 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: 9b922f93819b931f185987493bafd8295a5f60a31931f1485b8c179d7ffcbe76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a947880f9d9902a7f5dfb977217f5a637e40778cabbba5647c0f7f9682bf111a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-07-31T12:18:13Z",
    "title_canon_sha256": "d2feea0a1f4e0b8433a4e57b1d199672ae754688584498748ffdfaabe937ccc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08849",
    "kind": "arxiv",
    "version": 1
  }
}