Pith Number

pith:GKFUOSYE

pith:2015:GKFUOSYEXFZBWPFLGQNLZKWTQL

not attested not anchored not stored refs pending

Exact large ideals of B(G) are downward directed

John Quigg, Magnus B. Landstad, S. Kaliszewski

arxiv:1508.00284 v2 · 2015-08-02 · 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{GKFUOSYEXFZBWPFLGQNLZKWTQL}

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	2026-05-18T01:18:04.527068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

328b474b04b9721b3cab341abcaad382fa0a65d8dcc071e92935d16f2581505e

Aliases

arxiv: 1508.00284 · arxiv_version: 1508.00284v2 · doi: 10.48550/arxiv.1508.00284 · pith_short_12: GKFUOSYEXFZB · pith_short_16: GKFUOSYEXFZBWPFL · pith_short_8: GKFUOSYE

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/GKFUOSYEXFZBWPFLGQNLZKWTQL \
  | 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: 328b474b04b9721b3cab341abcaad382fa0a65d8dcc071e92935d16f2581505e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8583ef0bee745d90187d829cfab26c276a9d3a21885e9abe8190ebe132c3cf7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-08-02T20:59:02Z",
    "title_canon_sha256": "c964d908516879666365431c3443dbacc3ed09efe41801e59a7694ea7b61b46d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00284",
    "kind": "arxiv",
    "version": 2
  }
}