Pith Number

pith:CW53NZOX

pith:2013:CW53NZOXZ4XSILIHA63BI3VFEC

not attested not anchored not stored refs pending

Fermi's Trick and Symplectic Capacities: A Geometric Picture of Quantum States

Maurice A. de Gosson, Serge M. de Gosson

arxiv:1301.0923 v1 · 2013-01-05 · 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{CW53NZOXZ4XSILIHA63BI3VFEC}

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	2026-05-18T03:37:07.374909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15bbb6e5d7cf2f242d0707b6146ea520ab37d78e58896bddc3b001a5e451e8fe

Aliases

arxiv: 1301.0923 · arxiv_version: 1301.0923v1 · doi: 10.48550/arxiv.1301.0923 · pith_short_12: CW53NZOXZ4XS · pith_short_16: CW53NZOXZ4XSILIH · pith_short_8: CW53NZOX

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/CW53NZOXZ4XSILIHA63BI3VFEC \
  | 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: 15bbb6e5d7cf2f242d0707b6146ea520ab37d78e58896bddc3b001a5e451e8fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "809d671633e277943fde429cd56b1bb23875c9d9252099df23f44044e84a73b5",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-05T17:52:28Z",
    "title_canon_sha256": "487daf45ddea96e933e0dca55c68b10be1354ef2221ca92350049beabff7b79e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0923",
    "kind": "arxiv",
    "version": 1
  }
}