Pith Number

pith:SEFKWYEK

pith:2015:SEFKWYEKTVRPA6D2YSPRHBDJWJ

not attested not anchored not stored refs pending

Tight Size-Degree Bounds for Sums-of-Squares Proofs

Jakob Nordstr\"om, Massimo Lauria

arxiv:1504.01656 v1 · 2015-04-07 · 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{SEFKWYEKTVRPA6D2YSPRHBDJWJ}

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	2026-05-18T02:19:26.544725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

910aab608a9d62f0787ac49f138469b2495761f1f059aeb0a46e23922db37a39

Aliases

arxiv: 1504.01656 · arxiv_version: 1504.01656v1 · doi: 10.48550/arxiv.1504.01656 · pith_short_12: SEFKWYEKTVRP · pith_short_16: SEFKWYEKTVRPA6D2 · pith_short_8: SEFKWYEK

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/SEFKWYEKTVRPA6D2YSPRHBDJWJ \
  | 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: 910aab608a9d62f0787ac49f138469b2495761f1f059aeb0a46e23922db37a39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b32598c5cd04b3595d20c2d4a164405732692359f3bb501a1d95272e00b0bc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-04-07T16:15:22Z",
    "title_canon_sha256": "dd6e5c99dc0885fd6dcdc21aef5375654a5c526fa411efce0e2562e9e8d55d16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01656",
    "kind": "arxiv",
    "version": 1
  }
}