Pith Number

pith:QBIVPQ6U

pith:2010:QBIVPQ6ULWYAXPLYIVJDHCRDCE

not attested not anchored not stored refs pending

Groups of positive weighted deficiency and their applications

Andrei Jaikin-Zapirain, Mikhail Ershov

arxiv:1007.1489 v3 · 2010-07-09 · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBIVPQ6ULWYAXPLYIVJDHCRDCE}

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	2026-05-18T04:19:02.258990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

805157c3d45db00bbd784552338a231100c223174479efb681da673f8c0eebe1

Aliases

arxiv: 1007.1489 · arxiv_version: 1007.1489v3 · doi: 10.48550/arxiv.1007.1489 · pith_short_12: QBIVPQ6ULWYA · pith_short_16: QBIVPQ6ULWYAXPLY · pith_short_8: QBIVPQ6U

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/QBIVPQ6ULWYAXPLYIVJDHCRDCE \
  | 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: 805157c3d45db00bbd784552338a231100c223174479efb681da673f8c0eebe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf28eed419c945d8b5025c506900bbcab29faec374f6aec1c422a4f508f3928f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-07-09T00:55:20Z",
    "title_canon_sha256": "d113be6fcb023b030bfbfe35d3125f8715854dcc917885b116103446e3dc5c13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1489",
    "kind": "arxiv",
    "version": 3
  }
}