Pith Number

pith:BKBA3XNU

pith:2013:BKBA3XNUBOCCUC3EWFJ3QF6GQ3

not attested not anchored not stored refs pending

Uniformly bounded representations and exact groups

Kate Juschenko, Piotr W. Nowak

arxiv:1304.6107 v2 · 2013-04-22 · math.GR · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKBA3XNUBOCCUC3EWFJ3QF6GQ3}

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	2026-05-18T03:04:37.896357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a820dddb40b842a0b64b153b817c686d9670e940f2e6d4199652b6b8ad81e16

Aliases

arxiv: 1304.6107 · arxiv_version: 1304.6107v2 · doi: 10.48550/arxiv.1304.6107 · pith_short_12: BKBA3XNUBOCC · pith_short_16: BKBA3XNUBOCCUC3E · pith_short_8: BKBA3XNU

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/BKBA3XNUBOCCUC3EWFJ3QF6GQ3 \
  | 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: 0a820dddb40b842a0b64b153b817c686d9670e940f2e6d4199652b6b8ad81e16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9bd6123da113d28bcc6d9bb7dbc13efff7d5d631ddbd591cd1a6d7cc1332608",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-22T21:00:50Z",
    "title_canon_sha256": "476d54ec213676d30268bf5bfc4f4537f2d6dced2233a7ca01054fcf6dea3ea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6107",
    "kind": "arxiv",
    "version": 2
  }
}