Pith Number

pith:725KDI4T

pith:2012:725KDI4TOKCXDOREQAXQSP2NYJ

not attested not anchored not stored refs pending

A global quantum duality principle for subgroups and homogeneous spaces

Fabio Gavarini, Nicola Ciccoli

arxiv:1210.1597 v4 · 2012-10-04 · 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{725KDI4TOKCXDOREQAXQSP2NYJ}

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	2026-05-18T02:56:58.556301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

febaa1a393728571ba24802f093f4dc276f79140a426475eb7ded210c2a80a48

Aliases

arxiv: 1210.1597 · arxiv_version: 1210.1597v4 · doi: 10.48550/arxiv.1210.1597 · pith_short_12: 725KDI4TOKCX · pith_short_16: 725KDI4TOKCXDORE · pith_short_8: 725KDI4T

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/725KDI4TOKCXDOREQAXQSP2NYJ \
  | 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: febaa1a393728571ba24802f093f4dc276f79140a426475eb7ded210c2a80a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a32a816f83be9c27e5db03730816f0f3fe557cccbdce0c127b41dd02b650890b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-10-04T21:20:35Z",
    "title_canon_sha256": "0845386335b782b9dcf166bf1314b7ba7aad389804fcbd9a1e30938ab4a0db0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1597",
    "kind": "arxiv",
    "version": 4
  }
}