Pith Number

pith:U4CANAHD

pith:2014:U4CANAHDTKVJZVGXVYT4TJPNNZ

not attested not anchored not stored refs pending

Transmission Expansion Planning Considering Energy Storage

Andreas T. Ernst, Cameron A. G. MacRae, Melih Ozlen

arxiv:1412.6961 v2 · 2014-12-22 · 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{U4CANAHDTKVJZVGXVYT4TJPNNZ}

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	2026-05-18T02:30:39.364474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7040680e39aaa9cd4d7ae27c9a5ed6e66e350514d4699720b32a052d7af55f9

Aliases

arxiv: 1412.6961 · arxiv_version: 1412.6961v2 · doi: 10.48550/arxiv.1412.6961 · pith_short_12: U4CANAHDTKVJ · pith_short_16: U4CANAHDTKVJZVGX · pith_short_8: U4CANAHD

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/U4CANAHDTKVJZVGXVYT4TJPNNZ \
  | 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: a7040680e39aaa9cd4d7ae27c9a5ed6e66e350514d4699720b32a052d7af55f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bcdbada0bf17c9af4c72de724a6798612b6deb2bef7eeb942a7ed79cae6e435",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-12-22T12:47:42Z",
    "title_canon_sha256": "bcc19c401930509a7bd0c826c642181f123f491e3320ba86ee43fbc194da1cac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6961",
    "kind": "arxiv",
    "version": 2
  }
}