Pith Number

pith:6WONFZDM

pith:2011:6WONFZDMU3AZ5PHZIUM3OGX37Q

not attested not anchored not stored refs pending

When can dictionary learning uniquely recover sparse data from subsamples?

Christopher J. Hillar, Friedrich T. Sommer

arxiv:1106.3616 v5 · 2011-06-18 · q-bio.NC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6WONFZDMU3AZ5PHZIUM3OGX37Q}

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	2026-05-18T00:57:57.354724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f59cd2e46ca6c19ebcf94519b71afbfc1ffea59de2adf6f9c1f085e9d37fdce3

Aliases

arxiv: 1106.3616 · arxiv_version: 1106.3616v5 · doi: 10.48550/arxiv.1106.3616 · pith_short_12: 6WONFZDMU3AZ · pith_short_16: 6WONFZDMU3AZ5PHZ · pith_short_8: 6WONFZDM

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/6WONFZDMU3AZ5PHZIUM3OGX37Q \
  | 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: f59cd2e46ca6c19ebcf94519b71afbfc1ffea59de2adf6f9c1f085e9d37fdce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "681f3db324b7bbf7d6999c461300c80a96efca181a5a606db5e23aa8a007d56e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2011-06-18T05:06:20Z",
    "title_canon_sha256": "ac254c49b76f50d3ed4d22b817758c4a0b6397e827dab4b1abcd705e7a9214d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3616",
    "kind": "arxiv",
    "version": 5
  }
}