Pith Number

pith:AQ2KRM6K

pith:2011:AQ2KRM6KL2Q3SOFWASQHXD3PRC

not attested not anchored not stored refs pending

A Complete Characterization of the Gap between Convexity and SOS-Convexity

Amir Ali Ahmadi, Pablo A. Parrilo

arxiv:1111.4587 v2 · 2011-11-19 · 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{AQ2KRM6KL2Q3SOFWASQHXD3PRC}

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	2026-05-18T03:03:44.892817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0434a8b3ca5ea1b938b604a07b8f6f889316733cd3f669b78416499bd66cf010

Aliases

arxiv: 1111.4587 · arxiv_version: 1111.4587v2 · doi: 10.48550/arxiv.1111.4587 · pith_short_12: AQ2KRM6KL2Q3 · pith_short_16: AQ2KRM6KL2Q3SOFW · pith_short_8: AQ2KRM6K

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/AQ2KRM6KL2Q3SOFWASQHXD3PRC \
  | 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: 0434a8b3ca5ea1b938b604a07b8f6f889316733cd3f669b78416499bd66cf010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "866407ddac182a61cb71aa76b8a1b6f083314b09d250f56ffdf1c62dadbdd6fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-11-19T22:06:59Z",
    "title_canon_sha256": "2fa6b81af31b35b3dfa69c902fdaa38d1385b35b10756a0d3a55fb539947e394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4587",
    "kind": "arxiv",
    "version": 2
  }
}