Pith Number

pith:GH73F2DT

pith:2013:GH73F2DTWKXJIRTCOT2R3TXKXD

not attested not anchored not stored refs pending

Questions on the Borel Complexity of Characterized Subgroups

Daniele Impieri, Dikran Dikranjan

arxiv:1309.6228 v2 · 2013-09-24 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GH73F2DTWKXJIRTCOT2R3TXKXD}

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	2026-05-18T02:38:37.386418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ffb2e873b2ae94466274f51dceeab8fc0bc2fd54881372b87cd9697c37cb19

Aliases

arxiv: 1309.6228 · arxiv_version: 1309.6228v2 · doi: 10.48550/arxiv.1309.6228 · pith_short_12: GH73F2DTWKXJ · pith_short_16: GH73F2DTWKXJIRTC · pith_short_8: GH73F2DT

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/GH73F2DTWKXJIRTCOT2R3TXKXD \
  | 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: 31ffb2e873b2ae94466274f51dceeab8fc0bc2fd54881372b87cd9697c37cb19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c486d3e6ace08dbb882797655bf9559b966994e63dee9e6105ae428cec8689d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-09-24T15:59:17Z",
    "title_canon_sha256": "9c591f59d03b0de735f6b6d8a17465bcdabd17045afe774b26cd39a1998d6b01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6228",
    "kind": "arxiv",
    "version": 2
  }
}