Pith Number

pith:PDZIPDCP

pith:2016:PDZIPDCPQRR3K5HOQXD3543VY5

not attested not anchored not stored refs pending

Partial $\ell_1$ optimization in random linear systems -- phase transitions and large deviations

Mihailo Stojnic

arxiv:1612.07435 v1 · 2016-12-22 · math.OC · cs.IT · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDZIPDCPQRR3K5HOQXD3543VY5}

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	2026-05-18T00:54:10.035256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f2878c4f8463b574ee85c7bef375c762dec57b7b086bc45dd0a4c0604fdd21

Aliases

arxiv: 1612.07435 · arxiv_version: 1612.07435v1 · doi: 10.48550/arxiv.1612.07435 · pith_short_12: PDZIPDCPQRR3 · pith_short_16: PDZIPDCPQRR3K5HO · pith_short_8: PDZIPDCP

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/PDZIPDCPQRR3K5HOQXD3543VY5 \
  | 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: 78f2878c4f8463b574ee85c7bef375c762dec57b7b086bc45dd0a4c0604fdd21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa186d10bebbbc0aef0e8472fbc4aa200a1f0cb7f3309d7004cb6972acbb656",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-22T04:05:02Z",
    "title_canon_sha256": "4162ab4bcd477b4b489f7827b048c203f38ae63cf17fb428f747a31e29b3d893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07435",
    "kind": "arxiv",
    "version": 1
  }
}