Pith Number

pith:RUSG7PG5

pith:2011:RUSG7PG536V62RNKDV5QVCZPGP

not attested not anchored not stored refs pending

Random equations in nilpotent groups

Alexei Myasnikov, Robert Gilman, Vitalii Romankov

arxiv:1105.2234 v2 · 2011-05-11 · 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{RUSG7PG536V62RNKDV5QVCZPGP}

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	2026-05-18T04:20:15.472440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d246fbcdddfabed45aa1d7b0a8b2f33d8f16a20634b79ef1d3ff69633fef076

Aliases

arxiv: 1105.2234 · arxiv_version: 1105.2234v2 · doi: 10.48550/arxiv.1105.2234 · pith_short_12: RUSG7PG536V6 · pith_short_16: RUSG7PG536V62RNK · pith_short_8: RUSG7PG5

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/RUSG7PG536V62RNKDV5QVCZPGP \
  | 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: 8d246fbcdddfabed45aa1d7b0a8b2f33d8f16a20634b79ef1d3ff69633fef076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac6d4588ba05864b8747616f99348f94b047606c50321fb4cbecb9ae45d0b50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-11T16:12:45Z",
    "title_canon_sha256": "219a211f9c9f001681ee557bdef124160259c2c313246b50dbe5183a940db2c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2234",
    "kind": "arxiv",
    "version": 2
  }
}