Pith Number

pith:LQJRM6Q4

pith:2021:LQJRM6Q4ZGW6MMCSCNN3PFAODH

not attested not anchored not stored refs pending

Robust Gas Pipeline Network Expansion Planning to Support Power System Reliability

Anatoly Zlotnik, Kaarthik Sundar, Russell Bent, Sidhant Misra

arxiv:2101.10398 v1 · 2021-01-25 · 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{LQJRM6Q4ZGW6MMCSCNN3PFAODH}

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	2026-07-05T02:09:58.168616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c13167a1cc9ade63052135bb7940e19d12c57ab686603cacd1ff4b3f67a4596

Aliases

arxiv: 2101.10398 · arxiv_version: 2101.10398v1 · doi: 10.48550/arxiv.2101.10398 · pith_short_12: LQJRM6Q4ZGW6 · pith_short_16: LQJRM6Q4ZGW6MMCS · pith_short_8: LQJRM6Q4

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/LQJRM6Q4ZGW6MMCSCNN3PFAODH \
  | 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: 5c13167a1cc9ade63052135bb7940e19d12c57ab686603cacd1ff4b3f67a4596

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7531ec3f25e02f4961dff79f252c8c67d7d449f307e1eb85c6c875a72445853f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-01-25T20:32:58Z",
    "title_canon_sha256": "f86f23999f3f6d2a4420ba0b22395cf39aa5e73a30be72592b91364d23b92c57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.10398",
    "kind": "arxiv",
    "version": 1
  }
}