Pith Number

pith:DRQRMGN6

pith:2014:DRQRMGN677BDRWD2OOWCZJWDTN

not attested not anchored not stored refs pending

The virtual first Betti number of soluble groups

Dessislava H. Kochloukova, Martin R. Bridson

arxiv:1409.6029 v1 · 2014-09-21 · 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{DRQRMGN677BDRWD2OOWCZJWDTN}

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	2026-05-18T02:42:13.893908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c611619beffc238d87a73ac2ca6c39b4fcf8f1b2f85522c72a5f6c992ec6a4d

Aliases

arxiv: 1409.6029 · arxiv_version: 1409.6029v1 · doi: 10.48550/arxiv.1409.6029 · pith_short_12: DRQRMGN677BD · pith_short_16: DRQRMGN677BDRWD2 · pith_short_8: DRQRMGN6

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/DRQRMGN677BDRWD2OOWCZJWDTN \
  | 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: 1c611619beffc238d87a73ac2ca6c39b4fcf8f1b2f85522c72a5f6c992ec6a4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cf5544941e695e9fcb123f1bed3dffef7e89dc494f1238a70d582b9c40acd77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-21T18:37:25Z",
    "title_canon_sha256": "26c940e77448e79c0bfcb269a810661d737e590561fb1b96f53d3daa6f815bb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6029",
    "kind": "arxiv",
    "version": 1
  }
}