Pith Number

pith:L5HXXPLO

pith:2013:L5HXXPLOA4GT6NWRALDBWWSQQF

not attested not anchored not stored refs pending

Near-Optimal Encoding for Sigma-Delta Quantization of Finite Frame Expansions

Mark Iwen, Rayan Saab

arxiv:1307.2136 v1 · 2013-07-08 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5HXXPLOA4GT6NWRALDBWWSQQF}

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	2026-05-18T03:19:02.312669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f4f7bbd6e070d3f36d102c61b5a50814d9e9fbaa741f577e17ab9b80379a475

Aliases

arxiv: 1307.2136 · arxiv_version: 1307.2136v1 · doi: 10.48550/arxiv.1307.2136 · pith_short_12: L5HXXPLOA4GT · pith_short_16: L5HXXPLOA4GT6NWR · pith_short_8: L5HXXPLO

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/L5HXXPLOA4GT6NWRALDBWWSQQF \
  | 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: 5f4f7bbd6e070d3f36d102c61b5a50814d9e9fbaa741f577e17ab9b80379a475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e52d0e0bbc866b27bf76ede727855fef84d3acb3bd9f66627e4ae764514430e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-08T15:53:15Z",
    "title_canon_sha256": "24e246d1bfef58ce0c8be7f99ccd74089636717fd95a79bc04e54baf3a104281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2136",
    "kind": "arxiv",
    "version": 1
  }
}