Pith Number

pith:T5RI7GXJ

pith:2015:T5RI7GXJMBEVP3KMN74WE4KAZQ

not attested not anchored not stored refs pending

Strong NP-hardness of AC power flows feasibility

Abhinav Verma, Daniel Bienstock

arxiv:1512.07315 v2 · 2015-12-23 · 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{T5RI7GXJMBEVP3KMN74WE4KAZQ}

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	2026-05-17T23:49:06.580000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f628f9ae9604957ed4c6ff9627140cc3af2ca6d262aed76f667e62f8ae952c5

Aliases

arxiv: 1512.07315 · arxiv_version: 1512.07315v2 · doi: 10.48550/arxiv.1512.07315 · pith_short_12: T5RI7GXJMBEV · pith_short_16: T5RI7GXJMBEVP3KM · pith_short_8: T5RI7GXJ

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/T5RI7GXJMBEVP3KMN74WE4KAZQ \
  | 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: 9f628f9ae9604957ed4c6ff9627140cc3af2ca6d262aed76f667e62f8ae952c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd1fff3d4047b2a4f8f506efeebc54f1085ca97cec9b83d686aca88c38967fca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-23T00:56:13Z",
    "title_canon_sha256": "1b8b34bb22bffefd064b29fd8d99af35cf4840f7af21f7f573dbb5d44b07ca70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07315",
    "kind": "arxiv",
    "version": 2
  }
}