Pith Number

pith:CSULKGGI

pith:2015:CSULKGGIGUIZ2OZBFK2GYU2TLO

not attested not anchored not stored refs pending

On the Network Topology Dependent Solution Count of the Algebraic Load Flow Equations

Dhagash Mehta, Tianran Chen

arxiv:1512.04987 v1 · 2015-12-15 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSULKGGIGUIZ2OZBFK2GYU2TLO}

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	2026-05-18T01:24:13.808036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14a8b518c835119d3b212ab46c53535bbf629019224e4b8c7c1ba9064a05663e

Aliases

arxiv: 1512.04987 · arxiv_version: 1512.04987v1 · doi: 10.48550/arxiv.1512.04987 · pith_short_12: CSULKGGIGUIZ · pith_short_16: CSULKGGIGUIZ2OZB · pith_short_8: CSULKGGI

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/CSULKGGIGUIZ2OZBFK2GYU2TLO \
  | 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: 14a8b518c835119d3b212ab46c53535bbf629019224e4b8c7c1ba9064a05663e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eb945e8438fc6523fc4b0d078417e5310fa1d235eedee9804dfd8030877578c",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-15T22:08:30Z",
    "title_canon_sha256": "75c91af82d4ea46e6792578d951c0fdc5d124730fd8bdfd366ba304a4482f317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04987",
    "kind": "arxiv",
    "version": 1
  }
}