Pith Number

pith:2TD6DNN3

pith:2016:2TD6DNN3WADEN7JW5MWYDIICD5

not attested not anchored not stored refs pending

Explicit Conditions on Existence and Uniqueness of Load-Flow Solutions in Distribution Networks

Andrey Bernstein, Cong Wang, Jean-Yves Le Boudec, Mario Paolone

arxiv:1602.08372 v1 · 2016-02-26 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TD6DNN3WADEN7JW5MWYDIICD5}

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	2026-05-18T01:19:56.210418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4c7e1b5bbb00646fd36eb2d81a1021f456a0e16927aec539d0a93ac33c6eb09

Aliases

arxiv: 1602.08372 · arxiv_version: 1602.08372v1 · doi: 10.48550/arxiv.1602.08372 · pith_short_12: 2TD6DNN3WADE · pith_short_16: 2TD6DNN3WADEN7JW · pith_short_8: 2TD6DNN3

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/2TD6DNN3WADEN7JW5MWYDIICD5 \
  | 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: d4c7e1b5bbb00646fd36eb2d81a1021f456a0e16927aec539d0a93ac33c6eb09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9001a6de00f10df9dd42196a4329112150f69675a5959c5670372101c8433088",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-02-26T15:39:18Z",
    "title_canon_sha256": "e50484e59a015395e01667449270dd3e84dfa063c2a975d2c5ba3e8385bd692c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08372",
    "kind": "arxiv",
    "version": 1
  }
}