Pith Number

pith:2EBFAK7M

pith:2014:2EBFAK7MTUNJGC7XKPXFPDYHAA

not attested not anchored not stored refs pending

An elementary recursive bound for effective Positivstellensatz and Hilbert 17-th problem

Daniel Perrucci, Henri Lombardi, Marie-Fran\c{c}oise Roy

arxiv:1404.2338 v3 · 2014-04-09 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2EBFAK7MTUNJGC7XKPXFPDYHAA}

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	2026-05-18T00:46:43.427880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d102502bec9d1a930bf753ee578f070034ad4b44bb8772bbb462af8395a15222

Aliases

arxiv: 1404.2338 · arxiv_version: 1404.2338v3 · doi: 10.48550/arxiv.1404.2338 · pith_short_12: 2EBFAK7MTUNJ · pith_short_16: 2EBFAK7MTUNJGC7X · pith_short_8: 2EBFAK7M

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/2EBFAK7MTUNJGC7XKPXFPDYHAA \
  | 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: d102502bec9d1a930bf753ee578f070034ad4b44bb8772bbb462af8395a15222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0de6035073484b3ab61d0ef7cbfa3e532ed83c6951db9fcdc97939ae7bb7a01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-09T00:42:58Z",
    "title_canon_sha256": "9f2bc21dc897d072dc51d3a28594388104a53808e6b73d84ab48c6fc6311cfbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2338",
    "kind": "arxiv",
    "version": 3
  }
}