Pith Number

pith:J56RVNP4

pith:2016:J56RVNP4EYDYLPMUUUQLPRZN5Y

not attested not anchored not stored refs pending

On groups elementarily equivalent to a group of triangular matrices $T_n(R)$

Alexei Miasnikov, Mahmood Sohrabi

arxiv:1609.09802 v1 · 2016-09-30 · math.GR · math.LO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J56RVNP4EYDYLPMUUUQLPRZN5Y}

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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	2026-05-18T01:03:33.347669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f7d1ab5fc260785bd94a520b7c72dee3706625f59238520a10aa7d93346fb38

Aliases

arxiv: 1609.09802 · arxiv_version: 1609.09802v1 · doi: 10.48550/arxiv.1609.09802 · pith_short_12: J56RVNP4EYDY · pith_short_16: J56RVNP4EYDYLPMU · pith_short_8: J56RVNP4

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/J56RVNP4EYDYLPMUUUQLPRZN5Y \
  | 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: 4f7d1ab5fc260785bd94a520b7c72dee3706625f59238520a10aa7d93346fb38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "849498497b0ece9c1d02dd4b2dfe57c66baccf3c3d728877113297b54125149b",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-09-30T16:32:43Z",
    "title_canon_sha256": "6bc8195db0e8faa0d7abba7deaa527a41ad8ff04c2979afd19ed6a4226505bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09802",
    "kind": "arxiv",
    "version": 1
  }
}