Pith Number

pith:6BQ44QL2

pith:2019:6BQ44QL2ERFP2K4SIYNVUXXQLS

not attested not anchored not stored refs pending

Retracts of free groups and a question of Bergman

Ilir Snopce, Pavel Zalesskii, Slobodan Tanushevski

arxiv:1902.02378 v1 · 2019-02-06 · 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{6BQ44QL2ERFP2K4SIYNVUXXQLS}

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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.

Cited by

1 paper in Pith

On verbally closed subgroups of free solvable groups

Receipt and verification

First computed	2026-05-17T23:54:33.601481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f061ce417a244afd2b92461b5a5ef05cb96e1687bcf078a6d04262017ee74d69

Aliases

arxiv: 1902.02378 · arxiv_version: 1902.02378v1 · doi: 10.48550/arxiv.1902.02378 · pith_short_12: 6BQ44QL2ERFP · pith_short_16: 6BQ44QL2ERFP2K4S · pith_short_8: 6BQ44QL2

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/6BQ44QL2ERFP2K4SIYNVUXXQLS \
  | 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: f061ce417a244afd2b92461b5a5ef05cb96e1687bcf078a6d04262017ee74d69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0417c1a81e98d6ce3b2e8a54c5e2e98b34373f0d24d05356184e30762ca1c789",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-02-06T19:46:55Z",
    "title_canon_sha256": "f63eb0b07ae4483a4484800aa1a8bfcb5d672a58a1d344a1a28a15c29b3ffd08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02378",
    "kind": "arxiv",
    "version": 1
  }
}