pith. sign in
Pith Number

pith:OH7PRMCL

pith:2014:OH7PRMCL66UJUPP6TYZFZKSNE7
not attested not anchored not stored refs pending

$\mathop{\rm PL}_+(I)$ is not a Polish group

Michael P. Cohen, Robert R. Kallman

arxiv:1407.7910 v2 · 2014-07-30 · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OH7PRMCL66UJUPP6TYZFZKSNE7}

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 2026-05-18T02:45:40.627821Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

71fef8b04bf7a89a3dfe9e325caa4d27f51d61dc99f9c293261eec14e651dc85

Aliases

arxiv: 1407.7910 · arxiv_version: 1407.7910v2 · doi: 10.48550/arxiv.1407.7910 · pith_short_12: OH7PRMCL66UJ · pith_short_16: OH7PRMCL66UJUPP6 · pith_short_8: OH7PRMCL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OH7PRMCL66UJUPP6TYZFZKSNE7 \
  | 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: 71fef8b04bf7a89a3dfe9e325caa4d27f51d61dc99f9c293261eec14e651dc85
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d8aacf1629fcff722b9d6d100ddec9db1159d4353f030aec133ba43aa40f10b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-30T00:28:33Z",
    "title_canon_sha256": "d68e1bbb785f1b658c661ee85cf6aa9ebe2de3a377814b76301302339befd612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7910",
    "kind": "arxiv",
    "version": 2
  }
}