Pith Number

pith:GYTDFEUK

pith:2012:GYTDFEUK53XPTIYGVJREHIS5BH

not attested not anchored not stored refs pending

On the $\star$-product quantization and the Duflo map in three dimensions

Luigi Rosa, Patrizia Vitale

arxiv:1209.2941 v2 · 2012-09-13 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYTDFEUK53XPTIYGVJREHIS5BH}

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	2026-05-18T03:41:55.970421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

362632928aeeeef9a306aa6243a25d09e17b79570379b761c145374a9ee2a02f

Aliases

arxiv: 1209.2941 · arxiv_version: 1209.2941v2 · doi: 10.48550/arxiv.1209.2941 · pith_short_12: GYTDFEUK53XP · pith_short_16: GYTDFEUK53XPTIYG · pith_short_8: GYTDFEUK

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/GYTDFEUK53XPTIYGVJREHIS5BH \
  | 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: 362632928aeeeef9a306aa6243a25d09e17b79570379b761c145374a9ee2a02f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45b76c487430274b280de6636130eebe9ac041244ea92345cef0be37eb5dfe37",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-09-13T16:03:32Z",
    "title_canon_sha256": "2f47d90af82d82f125b5f2132b2cdbc3d6048aa8ac0b6801cf5887efc1766165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2941",
    "kind": "arxiv",
    "version": 2
  }
}