Pith Number

pith:U2DLA6VM

pith:2021:U2DLA6VMNDDXJOEDPSG5L3TE6S

not attested not anchored not stored refs pending

Isolation Intervals of the Real Roots of the Parametric Cubic Equation and Improved Complete Root Classification

Emil M. Prodanov

arxiv:2108.02009 v3 · 2021-08-02 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2DLA6VMNDDXJOEDPSG5L3TE6S}

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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.

Cited by

1 paper in Pith

Three-layer water flows: Dirichlet-Neumann operators and approximations

Receipt and verification

First computed	2026-07-05T04:31:23.039758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a686b07aac68c774b8837c8dd5ee64f4a55f72b050681a3ae42a9fa6aed5045e

Aliases

arxiv: 2108.02009 · arxiv_version: 2108.02009v3 · doi: 10.48550/arxiv.2108.02009 · pith_short_12: U2DLA6VMNDDX · pith_short_16: U2DLA6VMNDDXJOED · pith_short_8: U2DLA6VM

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/U2DLA6VMNDDXJOEDPSG5L3TE6S \
  | 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: a686b07aac68c774b8837c8dd5ee64f4a55f72b050681a3ae42a9fa6aed5045e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e1ed14f3af6ddaee2603e592ac74fad1c083bb5ebc40449f1d8733cde2b9786",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2021-08-02T19:29:59Z",
    "title_canon_sha256": "63ba838e8220bb53856b26ebb2a7e3a531e3814fdc48fea27bb4179446e9a037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.02009",
    "kind": "arxiv",
    "version": 3
  }
}