Pith Number

pith:LA7Y525W

pith:2021:LA7Y525WTGZCTCI445R4QDVQG3

not attested not anchored not stored refs pending

Long Wavelength Coherency in Well Connected Electric Power Networks

Julian Fritzsch, Philippe Jacquod

arxiv:2112.05048 v2 · 2021-12-09 · nlin.AO · cond-mat.dis-nn · 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{LA7Y525WTGZCTCI445R4QDVQG3}

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	2026-07-05T04:01:05.882839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

583f8eebb699b229891ce763c80eb036f8deae0ad098328ced8ed73cb9cc45b8

Aliases

arxiv: 2112.05048 · arxiv_version: 2112.05048v2 · doi: 10.48550/arxiv.2112.05048 · pith_short_12: LA7Y525WTGZC · pith_short_16: LA7Y525WTGZCTCI4 · pith_short_8: LA7Y525W

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/LA7Y525WTGZCTCI445R4QDVQG3 \
  | 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: 583f8eebb699b229891ce763c80eb036f8deae0ad098328ced8ed73cb9cc45b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a61f60de6b10f886e554074acc376ddfa4365272715524316c3c27c537b25d64",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2021-12-09T17:21:01Z",
    "title_canon_sha256": "bc839c95c70d2d5607142fa1d9d2128a2115624bb67bbad12a38baf2a44e14fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05048",
    "kind": "arxiv",
    "version": 2
  }
}