Pith Number

pith:HHAR56CE

pith:2015:HHAR56CELRMK5C44TZULXM4UM6

not attested not anchored not stored refs pending

Null- and Positivstellens\"atze for rationally resolvable ideals

Igor Klep, Jurij Vol\v{c}i\v{c}, Victor Vinnikov

arxiv:1504.08004 v2 · 2015-04-29 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHAR56CELRMK5C44TZULXM4UM6}

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	2026-05-18T00:17:30.853627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39c11ef8445c58ae8b9c9e68bbb3946799b537c1220f8debbe6d4081410f8ecb

Aliases

arxiv: 1504.08004 · arxiv_version: 1504.08004v2 · doi: 10.48550/arxiv.1504.08004 · pith_short_12: HHAR56CELRMK · pith_short_16: HHAR56CELRMK5C44 · pith_short_8: HHAR56CE

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/HHAR56CELRMK5C44TZULXM4UM6 \
  | 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: 39c11ef8445c58ae8b9c9e68bbb3946799b537c1220f8debbe6d4081410f8ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "490db4d4995632fa556ab505eaf7caf3807aea26ff305c1d23ebc05ee3e6064f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-04-29T20:05:46Z",
    "title_canon_sha256": "e79c50a614e482b391dbc84fc7962f1781f230f4d55b6b5a1c16f6a53f64b34e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08004",
    "kind": "arxiv",
    "version": 2
  }
}