Pith Number

pith:KSM6GOW7

pith:2013:KSM6GOW75PXHGJVPQXZYT4BV76

not attested not anchored not stored refs pending

Natural star-products on symplectic manifolds and related quantum mechanical operators

Maciej Blaszak, Ziemowit Domanski

arxiv:1311.3115 v1 · 2013-11-13 · 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{KSM6GOW75PXHGJVPQXZYT4BV76}

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	2026-05-18T01:46:31.572600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5499e33adfebee7326af85f389f035ff98f81d4912e5ea682ac9ee1f2fee1f7d

Aliases

arxiv: 1311.3115 · arxiv_version: 1311.3115v1 · doi: 10.48550/arxiv.1311.3115 · pith_short_12: KSM6GOW75PXH · pith_short_16: KSM6GOW75PXHGJVP · pith_short_8: KSM6GOW7

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/KSM6GOW75PXHGJVPQXZYT4BV76 \
  | 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: 5499e33adfebee7326af85f389f035ff98f81d4912e5ea682ac9ee1f2fee1f7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af91160bd52935877d3b490efa49e9fa8702d5e456780277fb7d568d7f90e58d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-13T13:08:06Z",
    "title_canon_sha256": "647e923086683ac3dd59fe850cf96d772f3552f9aba439dca8af4a68a952ff8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3115",
    "kind": "arxiv",
    "version": 1
  }
}