Pith Number

pith:R4QECUYL

pith:2014:R4QECUYLGQMMKYD3TXEB45MYF4

not attested not anchored not stored refs pending

Generalized Sphere Packing Bound

Alexander Vardy, Arman Fazeli, Eitan Yaakobi

arxiv:1401.6496 v1 · 2014-01-25 · 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{R4QECUYLGQMMKYD3TXEB45MYF4}

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	2026-05-18T03:01:01.606253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f2041530b3418c5607b9dc81e75982f181c999fb04567a8fa77043ad9409f61

Aliases

arxiv: 1401.6496 · arxiv_version: 1401.6496v1 · doi: 10.48550/arxiv.1401.6496 · pith_short_12: R4QECUYLGQMM · pith_short_16: R4QECUYLGQMMKYD3 · pith_short_8: R4QECUYL

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/R4QECUYLGQMMKYD3TXEB45MYF4 \
  | 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: 8f2041530b3418c5607b9dc81e75982f181c999fb04567a8fa77043ad9409f61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0784fe2f8f22d013e3e4e818e83078fcfe60eb4e8b5f7d1563e3c46dbf6aba8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-01-25T04:57:43Z",
    "title_canon_sha256": "560664473938e181f80f90579eb57d08c72cc470619667fa36a8113e253c9972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6496",
    "kind": "arxiv",
    "version": 1
  }
}