Pith Number

pith:KTU3QREM

pith:2013:KTU3QREMDYC5OPWDNYF6Y4YNQI

not attested not anchored not stored refs pending

Stable and real-zero polynomials in two variables

Anatolii Grinshpan, Dmitry S. Kaliuzhnyi-Verbovetskyi, Hugo J. Woerdeman, Victor Vinnikov

arxiv:1306.6655 v1 · 2013-06-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTU3QREMDYC5OPWDNYF6Y4YNQI}

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	2026-05-18T03:19:43.498508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54e9b8448c1e05d73ec36e0bec730d8232ee54d332594beb2b5ae8850b2d6f14

Aliases

arxiv: 1306.6655 · arxiv_version: 1306.6655v1 · doi: 10.48550/arxiv.1306.6655 · pith_short_12: KTU3QREMDYC5 · pith_short_16: KTU3QREMDYC5OPWD · pith_short_8: KTU3QREM

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/KTU3QREMDYC5OPWDNYF6Y4YNQI \
  | 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: 54e9b8448c1e05d73ec36e0bec730d8232ee54d332594beb2b5ae8850b2d6f14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b59187b787218e33ea3e9c61b0b6b21ae12e6909a44229996718d99fbf033bbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-27T20:33:25Z",
    "title_canon_sha256": "86a9586389de5f40698e2c892a7063ad650bb1404d4d9f12aa8885181ff1b9c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6655",
    "kind": "arxiv",
    "version": 1
  }
}