Pith Number

pith:H4U476HI

pith:2015:H4U476HI7LICNGFSSGOOEVYUSC

not attested not anchored not stored refs pending

The gap between the null space property and the restricted isometry property

Jameson Cahill, Rongrong Wang, Xuemei Chen

arxiv:1506.03040 v2 · 2015-06-09 · 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{H4U476HI7LICNGFSSGOOEVYUSC}

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	2026-05-18T01:18:57.397270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f29cff8e8fad02698b2919ce2571490b85de7066a7cf5f29ee97f3e18caed6b

Aliases

arxiv: 1506.03040 · arxiv_version: 1506.03040v2 · doi: 10.48550/arxiv.1506.03040 · pith_short_12: H4U476HI7LIC · pith_short_16: H4U476HI7LICNGFS · pith_short_8: H4U476HI

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/H4U476HI7LICNGFSSGOOEVYUSC \
  | 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: 3f29cff8e8fad02698b2919ce2571490b85de7066a7cf5f29ee97f3e18caed6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86e4c90b487dc01a5d119916dba472bff0225efbe7a225252eda88fdff6351e5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-06-09T18:53:25Z",
    "title_canon_sha256": "01a204befa25a4881ba46fd6dc86088ec119242c6c9da93d657aef83d13bb292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03040",
    "kind": "arxiv",
    "version": 2
  }
}