Pith Number

pith:UZZFROLH

pith:2012:UZZFROLH4DFOQFEAQNHEAVD2AM

not attested not anchored not stored refs pending

Symplectic geometry of quantum noise

Leonid Polterovich

arxiv:1206.3707 v2 · 2012-06-16 · math.SG · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZZFROLH4DFOQFEAQNHEAVD2AM}

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	2026-05-18T01:15:15.625418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a67258b967e0cae81480834e40547a0322694bb18b60625de63fb6f0e9603097

Aliases

arxiv: 1206.3707 · arxiv_version: 1206.3707v2 · doi: 10.48550/arxiv.1206.3707 · pith_short_12: UZZFROLH4DFO · pith_short_16: UZZFROLH4DFOQFEA · pith_short_8: UZZFROLH

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/UZZFROLH4DFOQFEAQNHEAVD2AM \
  | 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: a67258b967e0cae81480834e40547a0322694bb18b60625de63fb6f0e9603097

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2072b7b0ed4001eb397f0cc05157adf5d4d50ee7b2895d9d11da0bccb9d1c866",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-06-16T21:40:40Z",
    "title_canon_sha256": "f7a30e519891e2f40d11cddf4132048df9c74c0806dfbf4782252b6344268b00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3707",
    "kind": "arxiv",
    "version": 2
  }
}