Pith Number

pith:3FKQFFFK

pith:2014:3FKQFFFKYBMUIKS4REGIUYXNAS

not attested not anchored not stored refs pending

On the existence and linear approximation of the power flow solution in power distribution networks

Sandro Zampieri, Saverio Bolognani

arxiv:1403.5031 v4 · 2014-03-20 · 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{3FKQFFFKYBMUIKS4REGIUYXNAS}

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	2026-05-17T23:41:18.525935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9550294aac059442a5c890c8a62ed0488b1b38c9f65230c0dc22de940f38888

Aliases

arxiv: 1403.5031 · arxiv_version: 1403.5031v4 · doi: 10.48550/arxiv.1403.5031 · pith_short_12: 3FKQFFFKYBMU · pith_short_16: 3FKQFFFKYBMUIKS4 · pith_short_8: 3FKQFFFK

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/3FKQFFFKYBMUIKS4REGIUYXNAS \
  | 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: d9550294aac059442a5c890c8a62ed0488b1b38c9f65230c0dc22de940f38888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7155deecc2ec28f121062edde753da5049b653e76d53e6c6085965efc511ba9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-03-20T03:33:01Z",
    "title_canon_sha256": "0b7f7a1b4c75e9311e9049a9dc33804c72995e716790a4498c90e768180175c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5031",
    "kind": "arxiv",
    "version": 4
  }
}