Pith Number

pith:LUH2QEI3

pith:2011:LUH2QEI3L6ZMGWNPJ754UYM5HC

not attested not anchored not stored refs pending

A ganzstellensatz for semi-algebraic sets in real closed valued fields

Yoav Yaffe

arxiv:1101.3253 v3 · 2011-01-17 · 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{LUH2QEI3L6ZMGWNPJ754UYM5HC}

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	2026-05-18T04:22:00.661588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d0fa8111b5fb2c359af4ffbca619d3898b88a34c2bf2621e1a44058012f500f

Aliases

arxiv: 1101.3253 · arxiv_version: 1101.3253v3 · doi: 10.48550/arxiv.1101.3253 · pith_short_12: LUH2QEI3L6ZM · pith_short_16: LUH2QEI3L6ZMGWNP · pith_short_8: LUH2QEI3

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/LUH2QEI3L6ZMGWNPJ754UYM5HC \
  | 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: 5d0fa8111b5fb2c359af4ffbca619d3898b88a34c2bf2621e1a44058012f500f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2be020aabcfa07eb8c23363200732955fa4c0fd5e06ab362c1e19067d4889c31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-01-17T16:13:01Z",
    "title_canon_sha256": "69bd833975d54b8f26df480a658db612f067cbb615feee135a9fced3a60f1ea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3253",
    "kind": "arxiv",
    "version": 3
  }
}