Pith Number

pith:F2ARY5JH

pith:2013:F2ARY5JH3W2NHT4XPGUU4OCIXA

not attested not anchored not stored refs pending

Symplectic and Hamiltonian Deformations of Gabor Frames

Maurice A. de Gosson

arxiv:1305.1025 v1 · 2013-05-05 · math.FA · 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{F2ARY5JH3W2NHT4XPGUU4OCIXA}

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	2026-05-18T03:26:31.096472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e811c7527ddb4d3cf9779a94e3848b817f0a8c156caa987c74be98517cc65fe

Aliases

arxiv: 1305.1025 · arxiv_version: 1305.1025v1 · doi: 10.48550/arxiv.1305.1025 · pith_short_12: F2ARY5JH3W2N · pith_short_16: F2ARY5JH3W2NHT4X · pith_short_8: F2ARY5JH

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/F2ARY5JH3W2NHT4XPGUU4OCIXA \
  | 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: 2e811c7527ddb4d3cf9779a94e3848b817f0a8c156caa987c74be98517cc65fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ee7356ac468c2881fb571584d1229716b17b8836de9e5261d17b1c3885d9e7e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-05T16:31:05Z",
    "title_canon_sha256": "f20eba1f1dd73405ad7b5acbf3f78a3eec11b692417da730e81f572a515ee80a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1025",
    "kind": "arxiv",
    "version": 1
  }
}