Pith Number

pith:3UMG7MVD

pith:2017:3UMG7MVDWDSFBBHRT4YO5XY43B

not attested not anchored not stored refs pending

Unitary easy quantum groups: geometric aspects

Teodor Banica

arxiv:1709.02872 v2 · 2017-09-08 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UMG7MVDWDSFBBHRT4YO5XY43B}

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	2026-05-18T00:21:25.376592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd186fb2a3b0e45084f19f30eedf1cd8423e3d913c8224c2411256197e548368

Aliases

arxiv: 1709.02872 · arxiv_version: 1709.02872v2 · doi: 10.48550/arxiv.1709.02872 · pith_short_12: 3UMG7MVDWDSF · pith_short_16: 3UMG7MVDWDSFBBHR · pith_short_8: 3UMG7MVD

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/3UMG7MVDWDSFBBHRT4YO5XY43B \
  | 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: dd186fb2a3b0e45084f19f30eedf1cd8423e3d913c8224c2411256197e548368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6783d9bc0852f7b0ef3264d34e7162f9a3179c9cf71e520f49d4eca4b7f4c5d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-09-08T22:37:44Z",
    "title_canon_sha256": "dc62a8a61a4eef96520747223a56e97a8e582340fa282feee445c7970df0dfe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02872",
    "kind": "arxiv",
    "version": 2
  }
}