Pith Number

pith:ZR7GR7PP

pith:2018:ZR7GR7PP72SARCDX4QBUAPNW6N

not attested not anchored not stored refs pending

On the property IR of Friis and Rordam

Lawrence G. Brown

arxiv:1809.07808 v1 · 2018-09-20 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZR7GR7PP72SARCDX4QBUAPNW6N}

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	2026-05-18T00:05:13.220787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc7e68fdeffea4088877e403403db6f35c40e7e4b7520f4a987278aeb21c008b

Aliases

arxiv: 1809.07808 · arxiv_version: 1809.07808v1 · doi: 10.48550/arxiv.1809.07808 · pith_short_12: ZR7GR7PP72SA · pith_short_16: ZR7GR7PP72SARCDX · pith_short_8: ZR7GR7PP

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/ZR7GR7PP72SARCDX4QBUAPNW6N \
  | 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: cc7e68fdeffea4088877e403403db6f35c40e7e4b7520f4a987278aeb21c008b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "105bb9dd05f6b70a55dca92f6206ba60e4b6e5041a3772183b73a3eaa01d4280",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-09-20T19:07:11Z",
    "title_canon_sha256": "74413e089c67746568552c500faca64f0b8e27e7ccf2fe92fc696346b36fe319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07808",
    "kind": "arxiv",
    "version": 1
  }
}