Pith Number

pith:L4HCZRXG

pith:2020:L4HCZRXGQYHILKBYTDP3V7IBRO

not attested not anchored not stored refs pending

Optimal Economic Operation of Liquid Petroleum Products Pipeline Systems

Anatoly Zlotnik, Byron Tasseff, Elena Khlebnikova, Kaarthik Sundar, Mary Ewers, Russell Bent

arxiv:2012.11755 v1 · 2020-12-21 · 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{L4HCZRXGQYHILKBYTDP3V7IBRO}

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	2026-07-05T02:01:20.973121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0e2cc6e6860e85a83898dfbafd018b91c349e005c8e6599ff65743389ae07f

Aliases

arxiv: 2012.11755 · arxiv_version: 2012.11755v1 · doi: 10.48550/arxiv.2012.11755 · pith_short_12: L4HCZRXGQYHI · pith_short_16: L4HCZRXGQYHILKBY · pith_short_8: L4HCZRXG

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/L4HCZRXGQYHILKBYTDP3V7IBRO \
  | 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: 5f0e2cc6e6860e85a83898dfbafd018b91c349e005c8e6599ff65743389ae07f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a7c172a3549242e4d4f97148cbc9a342fa78453f33a656ebf32d40e5ce495ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-12-21T23:52:16Z",
    "title_canon_sha256": "5fd8eefec5def31ba40eb64c53b08c4aa654c277895e4d327ba80a8e979bbba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.11755",
    "kind": "arxiv",
    "version": 1
  }
}