Pith Number

pith:GCPLLUIX

pith:2011:GCPLLUIXYR24I5RTW4HWHNHOWF

not attested not anchored not stored refs pending

A Ganzstellensatz for semi-algebraic sets and a boundedness criterion for rational functions

Noa Lavi

arxiv:1101.2116 v5 · 2011-01-11 · math.AG · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCPLLUIXYR24I5RTW4HWHNHOWF}

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	2026-05-18T02:46:31.737779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309eb5d117c475c47633b70f63b4eeb171c46b28f06be4ba4c1f7494580bd084

Aliases

arxiv: 1101.2116 · arxiv_version: 1101.2116v5 · doi: 10.48550/arxiv.1101.2116 · pith_short_12: GCPLLUIXYR24 · pith_short_16: GCPLLUIXYR24I5RT · pith_short_8: GCPLLUIX

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/GCPLLUIXYR24I5RTW4HWHNHOWF \
  | 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: 309eb5d117c475c47633b70f63b4eeb171c46b28f06be4ba4c1f7494580bd084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d9d797f7c438b5ee0fcf01a6788644973068eb1f641a56f233a4f74e326a711",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-11T12:48:06Z",
    "title_canon_sha256": "ed84ae2070421d078da4c2aa3a75df99fd02a60677a8d9f54e10800219f45abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2116",
    "kind": "arxiv",
    "version": 5
  }
}