Pith Number

pith:6GOXAD2A

pith:2021:6GOXAD2AZLRPGOFBLDLBWTJ77E

not attested not anchored not stored refs pending

On the Foundation of Sparse Sensing (Part I): Necessary and Sufficient Sampling Theory and Robust Remaindering Problem

Guoqiang Xiao, Hanshen Xiao, Yaowen Zhang

arxiv:2108.10423 v1 · 2021-08-23 · 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{6GOXAD2AZLRPGOFBLDLBWTJ77E}

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	2026-07-05T03:08:09.500226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f19d700f40cae2f338a158d61b4d3ff93bde8a66abbd96386cd810e3f898bee2

Aliases

arxiv: 2108.10423 · arxiv_version: 2108.10423v1 · doi: 10.48550/arxiv.2108.10423 · pith_short_12: 6GOXAD2AZLRP · pith_short_16: 6GOXAD2AZLRPGOFB · pith_short_8: 6GOXAD2A

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/6GOXAD2AZLRPGOFBLDLBWTJ77E \
  | 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: f19d700f40cae2f338a158d61b4d3ff93bde8a66abbd96386cd810e3f898bee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3e3b439e122ce59a75fa2d6958c8a727853d2a97abce2543aca735699c0f6f7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-08-23T21:41:04Z",
    "title_canon_sha256": "96099adad7c6c10fa68c3f19ce23436cfb49e825c52caebb296934ab164f4f08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.10423",
    "kind": "arxiv",
    "version": 1
  }
}