Pith Number

pith:TIMWLONR

pith:2011:TIMWLONRP27D7SQJXF4QLX6TTS

not attested not anchored not stored refs pending

On the residual solvability of generalized free products of solvable groups

Delaram Kahrobaei, Stephen Majewicz

arxiv:1103.4193 v1 · 2011-03-22 · math.GR · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIMWLONRP27D7SQJXF4QLX6TTS}

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	2026-05-18T04:26:21.405633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a1965b9b17ebe3fca09b97905dfd39c843132f3f66c28ec8ee5ec53023354fe

Aliases

arxiv: 1103.4193 · arxiv_version: 1103.4193v1 · doi: 10.48550/arxiv.1103.4193 · pith_short_12: TIMWLONRP27D · pith_short_16: TIMWLONRP27D7SQJ · pith_short_8: TIMWLONR

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/TIMWLONRP27D7SQJXF4QLX6TTS \
  | 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: 9a1965b9b17ebe3fca09b97905dfd39c843132f3f66c28ec8ee5ec53023354fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d4be1737d99492917bf692837e9edcb6ff2f2d9f669ae5822ebcf5f209f7f8c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-22T02:53:04Z",
    "title_canon_sha256": "a45c03f19b1e9823c832560955099160e43400ab63d0650e24a08e44f149e80b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4193",
    "kind": "arxiv",
    "version": 1
  }
}