Pith Number

pith:XMBJGA4Z

pith:2016:XMBJGA4ZL5O6XSQDJY5SZRBZB5

not attested not anchored not stored refs pending

Random linear systems with sparse solutions -- asymptotics and large deviations

Mihailo Stojnic

arxiv:1612.06361 v1 · 2016-12-19 · 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{XMBJGA4ZL5O6XSQDJY5SZRBZB5}

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	2026-05-18T00:54:42.450490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb029303995f5debca034e3b2cc4390f7762565317f775e522f87e7299680739

Aliases

arxiv: 1612.06361 · arxiv_version: 1612.06361v1 · doi: 10.48550/arxiv.1612.06361 · pith_short_12: XMBJGA4ZL5O6 · pith_short_16: XMBJGA4ZL5O6XSQD · pith_short_8: XMBJGA4Z

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/XMBJGA4ZL5O6XSQDJY5SZRBZB5 \
  | 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: bb029303995f5debca034e3b2cc4390f7762565317f775e522f87e7299680739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "934c1e2e05852dcb4681583afa27c30a4220776a5f5bfa2efbeb2918239ec488",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-19T20:53:06Z",
    "title_canon_sha256": "6594f74fb7a5eca98001f225abf4ec9afdf0638c87ef941618fb7b98afc528e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06361",
    "kind": "arxiv",
    "version": 1
  }
}