Pith Number

pith:7SUCYMSI

pith:2010:7SUCYMSIYOYOZ7QVZ3DPO2SLLW

not attested not anchored not stored refs pending

NP-hardness of Deciding Convexity of Quartic Polynomials and Related Problems

Alex Olshevsky, Amir Ali Ahmadi, John N. Tsitsiklis, Pablo A. Parrilo

arxiv:1012.1908 v1 · 2010-12-09 · math.OC · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SUCYMSIYOYOZ7QVZ3DPO2SLLW}

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	2026-05-18T03:21:33.882276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca82c3248c3b0ecfe15cec6f76a4b5d8881c3fe24b0ba261dc5566d4d4e0e95

Aliases

arxiv: 1012.1908 · arxiv_version: 1012.1908v1 · doi: 10.48550/arxiv.1012.1908 · pith_short_12: 7SUCYMSIYOYO · pith_short_16: 7SUCYMSIYOYOZ7QV · pith_short_8: 7SUCYMSI

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/7SUCYMSIYOYOZ7QVZ3DPO2SLLW \
  | 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: fca82c3248c3b0ecfe15cec6f76a4b5d8881c3fe24b0ba261dc5566d4d4e0e95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "784d29e18dcdea427bf35cfb69f67f78a1555ebe915e60a4804ef19dfad84973",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-12-09T01:56:05Z",
    "title_canon_sha256": "a2e2d509dc6e191aed62707a9c7b201da38edd07fa9664be5521635f396fcde5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1908",
    "kind": "arxiv",
    "version": 1
  }
}