Pith Number

pith:RJ4H2QRU

pith:2019:RJ4H2QRUU4VIZQQCIER7KB5MP6

not attested not anchored not stored refs pending

Random Subgroups of Rationals

Alexander Melnikov, Bakhadyr Khoussainov, Frank Stephan, Karen Seidel, Sanjay Jain, Wei Li, Ziyuan Gao

arxiv:1901.04743 v2 · 2019-01-15 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJ4H2QRUU4VIZQQCIER7KB5MP6}

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	2026-05-17T23:56:09.159305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a787d4234a72a8cc2024123f507ac7fa6f0e2041d522fb8e41fb4825e244d51

Aliases

arxiv: 1901.04743 · arxiv_version: 1901.04743v2 · doi: 10.48550/arxiv.1901.04743 · pith_short_12: RJ4H2QRUU4VI · pith_short_16: RJ4H2QRUU4VIZQQC · pith_short_8: RJ4H2QRU

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/RJ4H2QRUU4VIZQQCIER7KB5MP6 \
  | 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: 8a787d4234a72a8cc2024123f507ac7fa6f0e2041d522fb8e41fb4825e244d51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1daf8176d008fb8a906142198c4a6b9e271929267e050d18bdf8fd2b1aed505d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2019-01-15T10:12:23Z",
    "title_canon_sha256": "c716347db6c5f3758bafde8eb1f1e7aa0838fcb6617626a657ced5f4161fe25b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04743",
    "kind": "arxiv",
    "version": 2
  }
}