Pith Number

pith:DANHLPOZ

pith:2020:DANHLPOZ6GF7AR7KNPWVTFWDRE

not attested not anchored not stored refs pending

A stochastic optimization algorithm for analyzing planar central and balanced configurations in the $n$-body problem

Adrian Doicu, Alexandru Doicu, Lei Zhao

arxiv:2010.15358 v2 · 2020-10-29 · math.DS · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DANHLPOZ6GF7AR7KNPWVTFWDRE}

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	2026-07-05T02:01:32.118659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

181a75bdd9f18bf047ea6bed5996c38905777b3060cbda87bdc8a910e900aed9

Aliases

arxiv: 2010.15358 · arxiv_version: 2010.15358v2 · doi: 10.48550/arxiv.2010.15358 · pith_short_12: DANHLPOZ6GF7 · pith_short_16: DANHLPOZ6GF7AR7K · pith_short_8: DANHLPOZ

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/DANHLPOZ6GF7AR7KNPWVTFWDRE \
  | 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: 181a75bdd9f18bf047ea6bed5996c38905777b3060cbda87bdc8a910e900aed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ada95573c39a2624ae06c99252a5a6773cc0d4517c9c1f7908d71930673be9a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-10-29T05:12:29Z",
    "title_canon_sha256": "166e7634ff4481fec97f3d02bb9fd1cecb7c222aa170c6389da4c59dc4533d3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.15358",
    "kind": "arxiv",
    "version": 2
  }
}