Pith Number

pith:5WFVYXNE

pith:2021:5WFVYXNEOZPHQ7WIPHPORDQ6PT

not attested not anchored not stored refs pending

On the Foundation of Sparse Sensing (Part II): Diophantine Sampling and Array Configuration

Beining Zhou, Guoqiang Xiao, Hanshen Xiao

arxiv:2108.10425 v1 · 2021-08-23 · cs.IT · math.CO · 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{5WFVYXNEOZPHQ7WIPHPORDQ6PT}

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	2026-07-05T03:08:09.534943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed8b5c5da4765e787ec879dee88e1e7ce093be9cd23b56f77b133e11efd579c5

Aliases

arxiv: 2108.10425 · arxiv_version: 2108.10425v1 · doi: 10.48550/arxiv.2108.10425 · pith_short_12: 5WFVYXNEOZPH · pith_short_16: 5WFVYXNEOZPHQ7WI · pith_short_8: 5WFVYXNE

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/5WFVYXNEOZPHQ7WIPHPORDQ6PT \
  | 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: ed8b5c5da4765e787ec879dee88e1e7ce093be9cd23b56f77b133e11efd579c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97884028123ca92d82e623a95e4f1d85280e02333ae28944ee140cd116859acf",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-08-23T21:50:07Z",
    "title_canon_sha256": "c128ef7f63c12642e66c2294ab6ef787a699aa0c64e783ded59faa2cd80d77f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.10425",
    "kind": "arxiv",
    "version": 1
  }
}