Pith Number

pith:BJFTKFD5

pith:2013:BJFTKFD5F45LM4HBBJM7LARMU7

not attested not anchored not stored refs pending

Linear under-determined systems with sparse solutions: Redirecting a challenge?

Mihailo Stojnic

arxiv:1304.0004 v2 · 2013-03-29 · cs.IT · math.IT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJFTKFD5F45LM4HBBJM7LARMU7}

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	2026-05-18T01:36:48.509206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a4b35147d2f3ab670e10a59f5822ca7cd0717f0999865e79b88d1f511c09145

Aliases

arxiv: 1304.0004 · arxiv_version: 1304.0004v2 · doi: 10.48550/arxiv.1304.0004 · pith_short_12: BJFTKFD5F45L · pith_short_16: BJFTKFD5F45LM4HB · pith_short_8: BJFTKFD5

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/BJFTKFD5F45LM4HBBJM7LARMU7 \
  | 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: 0a4b35147d2f3ab670e10a59f5822ca7cd0717f0999865e79b88d1f511c09145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1d83a2edec9c07cda1649824a1f7178f94db444b51a412bbc7498549033cec2",
    "cross_cats_sorted": [
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-29T04:44:38Z",
    "title_canon_sha256": "366649827c7d12ac099a947b7131ffc0d08a1c7206e6fcba2170c7a0322467d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0004",
    "kind": "arxiv",
    "version": 2
  }
}