Pith Number

pith:7XGZ7NQH

pith:2016:7XGZ7NQHWD2ACR2Y5WOM427OWS

not attested not anchored not stored refs pending

Reproducing pairs and Gabor systems at critical density

Michael Speckbacher, Peter Balazs

arxiv:1610.06697 v2 · 2016-10-21 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XGZ7NQHWD2ACR2Y5WOM427OWS}

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	2026-05-17T23:50:28.954847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdcd9fb607b0f4014758ed9cce6beeb4912f8b07f2c30c64de50c3797c5e5316

Aliases

arxiv: 1610.06697 · arxiv_version: 1610.06697v2 · doi: 10.48550/arxiv.1610.06697 · pith_short_12: 7XGZ7NQHWD2A · pith_short_16: 7XGZ7NQHWD2ACR2Y · pith_short_8: 7XGZ7NQH

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/7XGZ7NQHWD2ACR2Y5WOM427OWS \
  | 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: fdcd9fb607b0f4014758ed9cce6beeb4912f8b07f2c30c64de50c3797c5e5316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "663f9a2dc3d02b8c0d4f47e7772f9d579a107caab7e230ba77deb31d488811e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-10-21T08:28:10Z",
    "title_canon_sha256": "c8cd6501f1dbbf6c2079c8e0da8f85139e69ebda12fda12a8230ae60d2d69063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06697",
    "kind": "arxiv",
    "version": 2
  }
}