Pith Number

pith:5PE7CGZK

pith:2016:5PE7CGZKJD77I6PUTR7KIDIZTO

not attested not anchored not stored refs pending

Renewables and Storage in Distribution Systems: Centralized vs. Decentralized Integration

Lang Tong, Liyan Jia

arxiv:1601.02315 v1 · 2016-01-11 · 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{5PE7CGZKJD77I6PUTR7KIDIZTO}

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	2026-05-18T01:23:06.734230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc9f11b2a48fff479f49c7ea40d199bba95a679025d7afc8fe60292284d80fb

Aliases

arxiv: 1601.02315 · arxiv_version: 1601.02315v1 · doi: 10.48550/arxiv.1601.02315 · pith_short_12: 5PE7CGZKJD77 · pith_short_16: 5PE7CGZKJD77I6PU · pith_short_8: 5PE7CGZK

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/5PE7CGZKJD77I6PUTR7KIDIZTO \
  | 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: ebc9f11b2a48fff479f49c7ea40d199bba95a679025d7afc8fe60292284d80fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e434445da026e6f1fba64fc9de2561e1ed40be699090bc493a6cae3123a9a89f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-11T03:51:31Z",
    "title_canon_sha256": "67f2dd40f4445a12a79d0e7a71b7177a4b1827776bb1d517e47b92c3b412e076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02315",
    "kind": "arxiv",
    "version": 1
  }
}