Pith Number

pith:LWUOG232

pith:2009:LWUOG232WKCIW5GBQ3W3SSEFTS

not attested not anchored not stored refs pending

Refined Asymptotics for Multigraded Sums of Squares

J. Maurice Rojas, Swaminathan Sethuraman

arxiv:0901.3786 v3 · 2009-01-23 · math.AG · 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{LWUOG232WKCIW5GBQ3W3SSEFTS}

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	2026-05-18T04:38:48.692161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5da8e36b7ab2848b74c186edb948859cb06f12e7f5572bf28c608896705a9d42

Aliases

arxiv: 0901.3786 · arxiv_version: 0901.3786v3 · doi: 10.48550/arxiv.0901.3786 · pith_short_12: LWUOG232WKCI · pith_short_16: LWUOG232WKCIW5GB · pith_short_8: LWUOG232

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/LWUOG232WKCIW5GBQ3W3SSEFTS \
  | 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: 5da8e36b7ab2848b74c186edb948859cb06f12e7f5572bf28c608896705a9d42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "448a6031b3b4661c1385e0afc78afc75d8c486562d41916d5419064f1a7c31c3",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-01-23T21:17:28Z",
    "title_canon_sha256": "1906912e798929681caeebbf1b329b98d499c38b371f269afb9d3551697e89ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3786",
    "kind": "arxiv",
    "version": 3
  }
}