Pith Number

pith:S4D7F6MZ

pith:2016:S4D7F6MZTOQM4AAVOHB5MXFYW5

not attested not anchored not stored refs pending

Small coherence implies the weak Null Space Property

St\'ephane Chr\'etien, Zhen Wai Olivier Ho

arxiv:1606.09193 v1 · 2016-06-29 · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4D7F6MZTOQM4AAVOHB5MXFYW5}

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	2026-05-18T01:11:41.606211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9707f2f9999ba0ce001571c3d65cb8b74e24debf0367501ecbc3428ae4ae1e1f

Aliases

arxiv: 1606.09193 · arxiv_version: 1606.09193v1 · doi: 10.48550/arxiv.1606.09193 · pith_short_12: S4D7F6MZTOQM · pith_short_16: S4D7F6MZTOQM4AAV · pith_short_8: S4D7F6MZ

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/S4D7F6MZTOQM4AAVOHB5MXFYW5 \
  | 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: 9707f2f9999ba0ce001571c3d65cb8b74e24debf0367501ecbc3428ae4ae1e1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "334ef3922288dbcb8ac71a46ea1daba3a3c120cb4e6de90b60e80463182bd753",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-06-29T17:29:05Z",
    "title_canon_sha256": "2a23613bbae714d34b51ab6e5ae2a37ba74ad528ac2c6fdfe0db7d0d9b5fcdb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09193",
    "kind": "arxiv",
    "version": 1
  }
}