Pith Number

pith:DGXKUPU3

pith:2012:DGXKUPU32XH4S2YQXGMG4UDOK4

not attested not anchored not stored refs pending

Quantum isometries and group dual subgroups

Jyotishman Bhowmick, Kenny De Commer, Teodor Banica

arxiv:1201.3392 v2 · 2012-01-16 · 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{DGXKUPU32XH4S2YQXGMG4UDOK4}

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	2026-05-18T03:49:21.970326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19aeaa3e9bd5cfc96b10b9986e506e572b00af458efa2cbfcdfa57c26b9fd7d3

Aliases

arxiv: 1201.3392 · arxiv_version: 1201.3392v2 · doi: 10.48550/arxiv.1201.3392 · pith_short_12: DGXKUPU32XH4 · pith_short_16: DGXKUPU32XH4S2YQ · pith_short_8: DGXKUPU3

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/DGXKUPU32XH4S2YQXGMG4UDOK4 \
  | 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: 19aeaa3e9bd5cfc96b10b9986e506e572b00af458efa2cbfcdfa57c26b9fd7d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1c7014e02a83b1ef889118d8e28825eb6905c14bf94f763c32239276e5f1800",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-01-16T23:38:44Z",
    "title_canon_sha256": "006f53b5ba5f845bf7f66e439ef46b543820259d5c4ab7558a2eca08634fef17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3392",
    "kind": "arxiv",
    "version": 2
  }
}