Pith Number

pith:EDNJHIA5

pith:2016:EDNJHIA5GSAMJ7JYAQ63JJ3GCE

not attested not anchored not stored refs pending

A Polyhedral Study of the Integrated Minimum-Up/-Down Time and Ramping Polytope

Kai Pan, Yongpei Guan

arxiv:1604.02184 v1 · 2016-04-07 · 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{EDNJHIA5GSAMJ7JYAQ63JJ3GCE}

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.

Cited by

1 paper in Pith

Event-Based Dynamic Programming for Pumped-Storage Hydropower Scheduling

Receipt and verification

First computed	2026-05-18T01:17:28.269835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20da93a01d3480c4fd38043db4a7661115c3dcfb0c12254ca4c5fb5c65728d20

Aliases

arxiv: 1604.02184 · arxiv_version: 1604.02184v1 · doi: 10.48550/arxiv.1604.02184 · pith_short_12: EDNJHIA5GSAM · pith_short_16: EDNJHIA5GSAMJ7JY · pith_short_8: EDNJHIA5

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/EDNJHIA5GSAMJ7JYAQ63JJ3GCE \
  | 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: 20da93a01d3480c4fd38043db4a7661115c3dcfb0c12254ca4c5fb5c65728d20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582aff0c2bfdd3fd2f8a4abc883fd40d2bd59c2dc9937865352c3fe85124de90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-07T21:52:04Z",
    "title_canon_sha256": "b7acf8c0d6aa44d3d2a2610c6cdc4d5cf60778ebe4dfacad288330c7f35d8e0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02184",
    "kind": "arxiv",
    "version": 1
  }
}