Pith Number

pith:GESO6CR2

pith:2016:GESO6CR2XQKIZNTBYSQU5JTZWC

not attested not anchored not stored refs pending

Investigating the Maximum Number of Real Solutions to the Power Flow Equations: Analysis of Lossless Four-Bus Systems

Daniel K. Molzahn, Dhagash Mehta, Jonathan D. Hauenstein, Matthew Niemerg

arxiv:1603.05908 v1 · 2016-03-18 · math.OC · cs.CE · cs.SY · 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{GESO6CR2XQKIZNTBYSQU5JTZWC}

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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.

Receipt and verification

First computed	2026-05-18T01:18:53.324083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3124ef0a3abc148cb661c4a14ea679b0bf1a6b35e6a6108b8d56be2aa2f2ca72

Aliases

arxiv: 1603.05908 · arxiv_version: 1603.05908v1 · doi: 10.48550/arxiv.1603.05908 · pith_short_12: GESO6CR2XQKI · pith_short_16: GESO6CR2XQKIZNTB · pith_short_8: GESO6CR2

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/GESO6CR2XQKIZNTBYSQU5JTZWC \
  | 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: 3124ef0a3abc148cb661c4a14ea679b0bf1a6b35e6a6108b8d56be2aa2f2ca72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25bb9cbb9403679264985437ce184ca885a1eda20b6335d459c6b6b8833f907f",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.SY",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-18T16:21:38Z",
    "title_canon_sha256": "6d0899b95b67a48a90dcf877d6b1c1f86be3d79d7a84ff058a81390c3566dd39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05908",
    "kind": "arxiv",
    "version": 1
  }
}