Pith Number

pith:MP4A2V7E

pith:2016:MP4A2V7EORN6PTVLQZTJ7QBX63

not attested not anchored not stored refs pending

Maximal torus theory for compact quantum groups

Issan Patri, Teodor Banica

arxiv:1603.06272 v3 · 2016-03-20 · 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{MP4A2V7EORN6PTVLQZTJ7QBX63}

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	2026-05-18T00:22:06.822947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f80d57e4745be7ceab86669fc037f6cff6e5e4c77069508f8ad893b11f243b

Aliases

arxiv: 1603.06272 · arxiv_version: 1603.06272v3 · doi: 10.48550/arxiv.1603.06272 · pith_short_12: MP4A2V7EORN6 · pith_short_16: MP4A2V7EORN6PTVL · pith_short_8: MP4A2V7E

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/MP4A2V7EORN6PTVLQZTJ7QBX63 \
  | 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: 63f80d57e4745be7ceab86669fc037f6cff6e5e4c77069508f8ad893b11f243b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7cc9bd0b5cc3b519c1b20ee52464c55f418ad57a9a696e1ce66558ab502f59a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-03-20T21:31:56Z",
    "title_canon_sha256": "53418ad7470a391cb6bb5ff0993f0062ced91134a06c01b86c4cd29429fa2048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06272",
    "kind": "arxiv",
    "version": 3
  }
}