Pith Number

pith:QXOEY5W2

pith:2013:QXOEY5W2FRGCLH7WMBW6JKDTQP

not attested not anchored not stored refs pending

Reconstruction of Signals from Magnitudes of Redundant Representations: The Complex Case

Radu Balan

arxiv:1304.1839 v2 · 2013-04-06 · math.FA · cs.IT · math.IT · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXOEY5W2FRGCLH7WMBW6JKDTQP}

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	2026-05-18T02:25:34.372393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85dc4c76da2c4c259ff6606de4a87383ff082fa6fead980469c388430bb70915

Aliases

arxiv: 1304.1839 · arxiv_version: 1304.1839v2 · doi: 10.48550/arxiv.1304.1839 · pith_short_12: QXOEY5W2FRGC · pith_short_16: QXOEY5W2FRGCLH7W · pith_short_8: QXOEY5W2

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/QXOEY5W2FRGCLH7WMBW6JKDTQP \
  | 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: 85dc4c76da2c4c259ff6606de4a87383ff082fa6fead980469c388430bb70915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf6ea4ffd94230efebfcb8828acf5930d10702addf79c0c07377152e89cc9634",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-04-06T00:45:13Z",
    "title_canon_sha256": "775f586c823b6af319dbce0bc2d0e759b68bccf184eed1bed1c93d7355304c7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1839",
    "kind": "arxiv",
    "version": 2
  }
}