Pith Number

pith:BIF2FLF4

pith:2012:BIF2FLF4OUJAMGR33AKJSG7KKL

not attested not anchored not stored refs pending

Polynomial Optimization with Real Varieties

Jiawang Nie

arxiv:1211.1940 v2 · 2012-11-08 · 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{BIF2FLF4OUJAMGR33AKJSG7KKL}

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	2026-05-18T03:21:54.775650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a0ba2acbc7512061a3bd814991bea52dfa52caa4709a2c14a553565c76560ca

Aliases

arxiv: 1211.1940 · arxiv_version: 1211.1940v2 · doi: 10.48550/arxiv.1211.1940 · pith_short_12: BIF2FLF4OUJA · pith_short_16: BIF2FLF4OUJAMGR3 · pith_short_8: BIF2FLF4

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/BIF2FLF4OUJAMGR33AKJSG7KKL \
  | 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: 0a0ba2acbc7512061a3bd814991bea52dfa52caa4709a2c14a553565c76560ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c2799ae578fb64d75be88b82eb6eed4fe0a756ea079725f830212daf6cc19de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-11-08T18:51:25Z",
    "title_canon_sha256": "6ff9a31c1a6c8e4f64d686b8c3073a317ed9033c2da9094371cfc320725ef06f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1940",
    "kind": "arxiv",
    "version": 2
  }
}