Pith Number

pith:UMD5MFJ4

pith:2012:UMD5MFJ4LZXQIYVBXTGGFCRAKS

not attested not anchored not stored refs pending

When is a set of LMIs a sufficient condition for stability?

Amir Ali Ahmadi, Mardavij Roozbehani, Pablo A. Parrilo, Raphael M. Jungers

arxiv:1201.3227 v1 · 2012-01-16 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMD5MFJ4LZXQIYVBXTGGFCRAKS}

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	2026-05-18T04:04:31.844167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a307d6153c5e6f0462a1bccc628a2054add1edd48d74588ea61d3fce93947eff

Aliases

arxiv: 1201.3227 · arxiv_version: 1201.3227v1 · doi: 10.48550/arxiv.1201.3227 · pith_short_12: UMD5MFJ4LZXQ · pith_short_16: UMD5MFJ4LZXQIYVB · pith_short_8: UMD5MFJ4

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/UMD5MFJ4LZXQIYVBXTGGFCRAKS \
  | 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: a307d6153c5e6f0462a1bccc628a2054add1edd48d74588ea61d3fce93947eff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6295206a30dda71dc539f92bcd585ee3d52b2d261321670638edad92fad8bff",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-01-16T11:59:59Z",
    "title_canon_sha256": "90bd1fe05ad65f9d4bda0ada8e644310f6ea3b8efa6edac8ebaa989f50a62734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3227",
    "kind": "arxiv",
    "version": 1
  }
}