Pith Number

pith:VNON3PQZ

pith:2018:VNON3PQZYSEYIUJVFKOEHV3CZA

not attested not anchored not stored refs pending

Homological Dimension of Solvable Groups

Conchita Mart\'inez-P\'erez, Peter Kropholler

arxiv:1805.10052 v2 · 2018-05-25 · 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{VNON3PQZYSEYIUJVFKOEHV3CZA}

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	2026-05-17T23:52:53.033370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab5cddbe19c4898451352a9c43d762c8395fe8f6f78c28fc5cad2e0e2d3a8e41

Aliases

arxiv: 1805.10052 · arxiv_version: 1805.10052v2 · doi: 10.48550/arxiv.1805.10052 · pith_short_12: VNON3PQZYSEY · pith_short_16: VNON3PQZYSEYIUJV · pith_short_8: VNON3PQZ

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/VNON3PQZYSEYIUJVFKOEHV3CZA \
  | 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: ab5cddbe19c4898451352a9c43d762c8395fe8f6f78c28fc5cad2e0e2d3a8e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af94bce9ba50cd2e06025e218ad9b917a2aff6013444bc8ee780ac07aa17b3bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-05-25T09:28:22Z",
    "title_canon_sha256": "62c6f749b0d950afddbe1c3a9693b59e38fd6118f11a310bb2e9f56bd57b2ecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10052",
    "kind": "arxiv",
    "version": 2
  }
}