Pith Number

pith:X3X2BI6T

pith:2014:X3X2BI6TTHZ257GNHZSTU4LCEL

not attested not anchored not stored refs pending

Derandomizing restricted isometries via the Legendre symbol

Afonso S. Bandeira, Dustin G. Mixon, Joel Moreira, Matthew Fickus

arxiv:1406.4089 v1 · 2014-06-16 · math.CO · cs.IT · math.FA · math.IT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3X2BI6TTHZ257GNHZSTU4LCEL}

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	2026-05-18T02:49:39.261450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beefa0a3d399f3aefccd3e653a716222e1014961a9fbcdc3019db1fddff614fe

Aliases

arxiv: 1406.4089 · arxiv_version: 1406.4089v1 · doi: 10.48550/arxiv.1406.4089 · pith_short_12: X3X2BI6TTHZ2 · pith_short_16: X3X2BI6TTHZ257GN · pith_short_8: X3X2BI6T

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/X3X2BI6TTHZ257GNHZSTU4LCEL \
  | 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: beefa0a3d399f3aefccd3e653a716222e1014961a9fbcdc3019db1fddff614fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "159642f85ddf8fbe602575629005f3d18c78c9fb7fa6206297b4fb6ba516b4e0",
    "cross_cats_sorted": [
      "cs.IT",
      "math.FA",
      "math.IT",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-16T18:20:18Z",
    "title_canon_sha256": "3abb2e811b867c691c59f899a08485dee10f55deec2ecf677b3f313f04885b56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4089",
    "kind": "arxiv",
    "version": 1
  }
}