Pith Number

pith:LTEJIDH2

pith:2013:LTEJIDH2UJ7JEJRLFI2HABFWOB

not attested not anchored not stored refs pending

Quantum Indeterminacy, Polar Duality, and Symplectic Capacities

Maurice A. de Gosson

arxiv:1310.7885 v2 · 2013-10-29 · quant-ph · 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{LTEJIDH2UJ7JEJRLFI2HABFWOB}

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	2026-05-18T03:08:15.594248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc8940cfaa27e92262b2a347004b670759d4da51b43f4ad3be498718e5349fc

Aliases

arxiv: 1310.7885 · arxiv_version: 1310.7885v2 · doi: 10.48550/arxiv.1310.7885 · pith_short_12: LTEJIDH2UJ7J · pith_short_16: LTEJIDH2UJ7JEJRL · pith_short_8: LTEJIDH2

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/LTEJIDH2UJ7JEJRLFI2HABFWOB \
  | 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: 5cc8940cfaa27e92262b2a347004b670759d4da51b43f4ad3be498718e5349fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90d2d439f4f3798473fa4578781afa1441cb92aff5e875ab8ec76b9f0da46cec",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-10-29T17:16:05Z",
    "title_canon_sha256": "a02ca49a8bf4e900a1a13a007aa492f60d1d7182e9a698c5250311baee407631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7885",
    "kind": "arxiv",
    "version": 2
  }
}