Pith Number

pith:YSVGR7ZP

pith:2019:YSVGR7ZPP2H24PIKQ4A4BWJT6F

not attested not anchored not stored refs pending

Hyperballeans of groups

D. Dikranjan, I. Protasov, N. Zava

arxiv:1902.01472 v1 · 2019-02-04 · math.GN · 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{YSVGR7ZPP2H24PIKQ4A4BWJT6F}

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	2026-05-17T23:54:47.611569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4aa68ff2f7e8fae3d0a8701c0d933f1723d02606db3743c07712c65e464d7fd

Aliases

arxiv: 1902.01472 · arxiv_version: 1902.01472v1 · doi: 10.48550/arxiv.1902.01472 · pith_short_12: YSVGR7ZPP2H2 · pith_short_16: YSVGR7ZPP2H24PIK · pith_short_8: YSVGR7ZP

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/YSVGR7ZPP2H24PIKQ4A4BWJT6F \
  | 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: c4aa68ff2f7e8fae3d0a8701c0d933f1723d02606db3743c07712c65e464d7fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13dadc3cede4745c385fcf28125e81665f431c45dd3d5a553997350eece42f86",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-02-04T21:57:01Z",
    "title_canon_sha256": "3d838c19b2ef82fe87d3c10c81ba8c5a97f4c372bdb59a3042d5ad2ff828590b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01472",
    "kind": "arxiv",
    "version": 1
  }
}