Pith Number

pith:D4BPO4JY

pith:2016:D4BPO4JYFAXRRFRPEHNKLWASRG

not attested not anchored not stored refs pending

Primitive pairs of K-groups

Paul Flavell

arxiv:1609.03026 v1 · 2016-09-10 · 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{D4BPO4JYFAXRRFRPEHNKLWASRG}

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	2026-05-18T01:04:49.116112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f02f77138282f18962f21daa5d81289918b35b413fbef7614afebce87451ad1

Aliases

arxiv: 1609.03026 · arxiv_version: 1609.03026v1 · doi: 10.48550/arxiv.1609.03026 · pith_short_12: D4BPO4JYFAXR · pith_short_16: D4BPO4JYFAXRRFRP · pith_short_8: D4BPO4JY

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/D4BPO4JYFAXRRFRPEHNKLWASRG \
  | 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: 1f02f77138282f18962f21daa5d81289918b35b413fbef7614afebce87451ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24ce5a72c543e2ad21ca4ee4ce533c78bc48107779b2e0ff8dcb7a59e654aa09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-09-10T10:32:58Z",
    "title_canon_sha256": "8c9cc2bb3680b431c55e977978bc46987e5e1fc4c6da9f67e85e7117dbceb016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03026",
    "kind": "arxiv",
    "version": 1
  }
}