Pith Number

pith:YTB7C2ZE

pith:2003:YTB7C2ZERNO5VPKGSIIA3KXAMH

not attested not anchored not stored refs pending

There are Significantly More Nonnegative Polynomials than Sums of Squares

Grigoriy Blekherman

arxiv:math/0309130 v1 · 2003-09-07 · math.AG · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTB7C2ZERNO5VPKGSIIA3KXAMH}

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	2026-05-18T01:05:28.641306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4c3f16b248b5ddabd4692100daae061f97d6b5ead2e7ec5d6f86a506b51b8c5

Aliases

arxiv: math/0309130 · arxiv_version: math/0309130v1 · doi: 10.48550/arxiv.math/0309130 · pith_short_12: YTB7C2ZERNO5 · pith_short_16: YTB7C2ZERNO5VPKG · pith_short_8: YTB7C2ZE

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/YTB7C2ZERNO5VPKGSIIA3KXAMH \
  | 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: c4c3f16b248b5ddabd4692100daae061f97d6b5ead2e7ec5d6f86a506b51b8c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a17b30bf75fcb954c1d5aee1f70879feb9b16ed80ebca0369f123a946ac5e590",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-09-07T16:13:55Z",
    "title_canon_sha256": "7bc3136d88ae99e57fa2e84c5a25915565b658679418ba9a9fc771592d5c50ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309130",
    "kind": "arxiv",
    "version": 1
  }
}