Pith Number

pith:O6TTEP7Q

pith:2019:O6TTEP7QT6L7BPJUA5JDQKFNP4

not attested not anchored not stored refs pending

Two-generated verbally closed subgroups of a free solvable group G are retracts of G

E.I. Timoshenko, V.A. Roman'kov

arxiv:1901.05806 v1 · 2019-01-17 · 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{O6TTEP7QT6L7BPJUA5JDQKFNP4}

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	2026-05-17T23:56:06.135925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77a7323ff09f97f0bd3407523828ad7f0678ce88813307af7e29aa4a088cc503

Aliases

arxiv: 1901.05806 · arxiv_version: 1901.05806v1 · doi: 10.48550/arxiv.1901.05806 · pith_short_12: O6TTEP7QT6L7 · pith_short_16: O6TTEP7QT6L7BPJU · pith_short_8: O6TTEP7Q

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/O6TTEP7QT6L7BPJUA5JDQKFNP4 \
  | 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: 77a7323ff09f97f0bd3407523828ad7f0678ce88813307af7e29aa4a088cc503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45827ad439b64b3559df6af8f6618b8d277f4ae00ee88d64bf44419c8eb6d7be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-01-17T14:28:00Z",
    "title_canon_sha256": "4e3fbe6f2eafea08c72a918e5a3d2b702e9b2e91bf6218b00e2b920554c9e919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05806",
    "kind": "arxiv",
    "version": 1
  }
}