Pith Number

pith:G6BSG4WF

pith:2014:G6BSG4WFHHMLR7JNTRCMPN3SQE

not attested not anchored not stored refs pending

Small product sets in compact groups

Michael Bj\"orklund

arxiv:1402.1618 v4 · 2014-02-07 · math.NT · 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{G6BSG4WFHHMLR7JNTRCMPN3SQE}

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	2026-05-18T00:55:58.807215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37832372c539d8b8fd2d9c44c7b772812f8a68983bcb3eac748e0525c991498f

Aliases

arxiv: 1402.1618 · arxiv_version: 1402.1618v4 · doi: 10.48550/arxiv.1402.1618 · pith_short_12: G6BSG4WFHHML · pith_short_16: G6BSG4WFHHMLR7JN · pith_short_8: G6BSG4WF

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/G6BSG4WFHHMLR7JNTRCMPN3SQE \
  | 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: 37832372c539d8b8fd2d9c44c7b772812f8a68983bcb3eac748e0525c991498f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e7fba32c65d2ac7c21378e2ec80d003e0bf5134da77751f6293fdbf999f5e6",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-07T12:29:23Z",
    "title_canon_sha256": "6394d89f183673c2ee97cea9a3ea13087564a2b422e512112c6d67f624dcfe8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1618",
    "kind": "arxiv",
    "version": 4
  }
}