Pith Number

pith:LFZTVDL5

pith:2017:LFZTVDL5YJN4UTQNILWUTLBL3O

not attested not anchored not stored refs pending

Undecidability of Equations in Free Lie Algebras

Alexei Myasnikov, Olga Kharlampovich

arxiv:1708.07419 v1 · 2017-08-22 · math.LO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFZTVDL5YJN4UTQNILWUTLBL3O}

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	2026-05-18T00:36:44.378102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59733a8d7dc25bca4e0d42ed49ac2bdb908a08a2ad12751c2b3db717883ed59d

Aliases

arxiv: 1708.07419 · arxiv_version: 1708.07419v1 · doi: 10.48550/arxiv.1708.07419 · pith_short_12: LFZTVDL5YJN4 · pith_short_16: LFZTVDL5YJN4UTQN · pith_short_8: LFZTVDL5

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/LFZTVDL5YJN4UTQNILWUTLBL3O \
  | 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: 59733a8d7dc25bca4e0d42ed49ac2bdb908a08a2ad12751c2b3db717883ed59d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c9d1ecf2ca987f0e207663975e29b675f0404536fe1d0e1c9129566c80d51b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-08-22T20:13:56Z",
    "title_canon_sha256": "f079dee6f8ec128dc8b911c2df2a0449c80e7c602d2404c920dc818a84060aef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07419",
    "kind": "arxiv",
    "version": 1
  }
}