Pith Number

pith:YFUIE7P4

pith:2021:YFUIE7P4MFFIL5WANIX3QOEUSB

not attested not anchored not stored refs pending

The Siebeck-Marden-Northshield Theorem and the Real Roots of the Symbolic Cubic Equation

Emil M. Prodanov

arxiv:2107.01847 v2 · 2021-07-05 · 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{YFUIE7P4MFFIL5WANIX3QOEUSB}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T04:30:51.702189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c168827dfc614a85f6c06a2fb83894904f2d2cc2a42d2ef6df294382474ac2c6

Aliases

arxiv: 2107.01847 · arxiv_version: 2107.01847v2 · doi: 10.48550/arxiv.2107.01847 · pith_short_12: YFUIE7P4MFFI · pith_short_16: YFUIE7P4MFFIL5WA · pith_short_8: YFUIE7P4

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/YFUIE7P4MFFIL5WANIX3QOEUSB \
  | 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: c168827dfc614a85f6c06a2fb83894904f2d2cc2a42d2ef6df294382474ac2c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf952704b6299893afd3386e9f4312f44177a3167da33517bd91217aa7d5dcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2021-07-05T08:05:03Z",
    "title_canon_sha256": "31f9e3685a829759ebf411fea042ef8d7e42cb9e5c8c6b6a6d34ba62be16475f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01847",
    "kind": "arxiv",
    "version": 2
  }
}