Pith Number

pith:UELI6T5H

pith:2010:UELI6T5HHAO6WENNH77ACTVL4K

not attested not anchored not stored refs pending

A Characterization of Multivariate Gaussian Weyl--Heisenberg Frames, (II)

Maurice de Gosson

arxiv:1012.0528 v2 · 2010-12-02 · math-ph · math.FA · math.MP · math.SG · 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{UELI6T5HHAO6WENNH77ACTVL4K}

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	2026-05-18T04:33:17.694066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1168f4fa7381deb11ad3ffe014eabe28c866f931a69ed4f24b289135ff444db

Aliases

arxiv: 1012.0528 · arxiv_version: 1012.0528v2 · doi: 10.48550/arxiv.1012.0528 · pith_short_12: UELI6T5HHAO6 · pith_short_16: UELI6T5HHAO6WENN · pith_short_8: UELI6T5H

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/UELI6T5HHAO6WENNH77ACTVL4K \
  | 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: a1168f4fa7381deb11ad3ffe014eabe28c866f931a69ed4f24b289135ff444db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7faf9c306a782bcd8a213823258c14a8ef2c1a594c46824a3fedcdd0471ead9a",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.SG",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-02T18:14:44Z",
    "title_canon_sha256": "66902083eb1c17cbe14db52c00970f9c8d5c21840067fb2120b77c07cb57c758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0528",
    "kind": "arxiv",
    "version": 2
  }
}