Pith Number

pith:AXL3JW54

pith:2015:AXL3JW542JXN4DGWFXPN5AIVMO

not attested not anchored not stored refs pending

Phase Balancing Using Energy Storage in Power Grids under Uncertainty

Ben Liang, Joshua A. Taylor, Min Dong, Sun Sun

arxiv:1505.03187 v2 · 2015-05-12 · 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{AXL3JW542JXN4DGWFXPN5AIVMO}

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	2026-05-18T01:25:55.336450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d7b4dbbcd26ede0cd62ddede811563bb8f17c9fafd11fb6584432a154b0014

Aliases

arxiv: 1505.03187 · arxiv_version: 1505.03187v2 · doi: 10.48550/arxiv.1505.03187 · pith_short_12: AXL3JW542JXN · pith_short_16: AXL3JW542JXN4DGW · pith_short_8: AXL3JW54

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/AXL3JW542JXN4DGWFXPN5AIVMO \
  | 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: 05d7b4dbbcd26ede0cd62ddede811563bb8f17c9fafd11fb6584432a154b0014

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2226e2f5c97c80b0ed8f2407f7baa62b4e0510c33a38f049661fb58505359ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-05-12T23:18:54Z",
    "title_canon_sha256": "3daaacef431d108a31c4761ce495579521d33a6b2bb2ecc8d9ee9e1b095d1809"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03187",
    "kind": "arxiv",
    "version": 2
  }
}