Pith Number

pith:FJG7JN2T

pith:2012:FJG7JN2T2YKEIQ7ANRLEPYGNQ4

not attested not anchored not stored refs pending

On the Use of Multipole Expansion in Time Evolution of Non-linear Dynamical Systems and Some Surprises Related to Superradiance

Andras Laszlo, Istvan Racz, Peter Csizmadia

arxiv:1207.5837 v2 · 2012-07-24 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJG7JN2T2YKEIQ7ANRLEPYGNQ4}

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	2026-05-18T01:56:08.073730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a4df4b753d6144443e06c5647e0cd8715b53e5a25c6508e0e4348381b5c508e

Aliases

arxiv: 1207.5837 · arxiv_version: 1207.5837v2 · doi: 10.48550/arxiv.1207.5837 · pith_short_12: FJG7JN2T2YKE · pith_short_16: FJG7JN2T2YKEIQ7A · pith_short_8: FJG7JN2T

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/FJG7JN2T2YKEIQ7ANRLEPYGNQ4 \
  | 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: 2a4df4b753d6144443e06c5647e0cd8715b53e5a25c6508e0e4348381b5c508e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d3fba57011e638f3215a6e0e1e3a5505317f7c6004377ef2f39b11ab87cb700",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-24T21:49:17Z",
    "title_canon_sha256": "a68c6fc403ed997f5cc2b6799fc812ffbff2fb263a0970e7b39aa1b20c5ed340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5837",
    "kind": "arxiv",
    "version": 2
  }
}