Pith Number

pith:DPGPRAXZ

pith:2017:DPGPRAXZFKDY467PPRLXOZHURY

not attested not anchored not stored refs pending

Orthogonal free quantum group factors are strongly 1-bounded

Michael Brannan, Roland Vergnioux

arxiv:1703.08134 v3 · 2017-03-23 · 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{DPGPRAXZFKDY467PPRLXOZHURY}

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	2026-05-18T00:21:46.478939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bccf882f92a878e7bef7c577764f48e1d2956078f768dc8cb0368d7d7e50749

Aliases

arxiv: 1703.08134 · arxiv_version: 1703.08134v3 · doi: 10.48550/arxiv.1703.08134 · pith_short_12: DPGPRAXZFKDY · pith_short_16: DPGPRAXZFKDY467P · pith_short_8: DPGPRAXZ

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/DPGPRAXZFKDY467PPRLXOZHURY \
  | 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: 1bccf882f92a878e7bef7c577764f48e1d2956078f768dc8cb0368d7d7e50749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e16607436b7cfc47c83ebf8d6dabd6a59fdcf2dde0550456118b71eedf301cbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-03-23T16:44:33Z",
    "title_canon_sha256": "287c74b1402ee3d5583e7f9a14bbc9b0c63e2b0bb263f245219e2eed024eac2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08134",
    "kind": "arxiv",
    "version": 3
  }
}