Pith Number

pith:AA34ILY5

pith:2010:AA34ILY5P5FJS5LAMJZOT6MFGA

not attested not anchored not stored refs pending

A Natural Symmetrization for the Plummer Potential

Junichiro Makino, Takayuki R.Saitoh

arxiv:1005.1752 v2 · 2010-05-11 · astro-ph.IM · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AA34ILY5P5FJS5LAMJZOT6MFGA}

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	2026-05-18T02:07:34.445069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0037c42f1d7f4a9975606272e9f985301de9604203f44773012b75632e53c132

Aliases

arxiv: 1005.1752 · arxiv_version: 1005.1752v2 · doi: 10.48550/arxiv.1005.1752 · pith_short_12: AA34ILY5P5FJ · pith_short_16: AA34ILY5P5FJS5LA · pith_short_8: AA34ILY5

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/AA34ILY5P5FJS5LAMJZOT6MFGA \
  | 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: 0037c42f1d7f4a9975606272e9f985301de9604203f44773012b75632e53c132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb9c1f2f86cf54a3c4c48b5cebb8fab069eea1281fbee10cab1235d9ce9324cc",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2010-05-11T08:33:57Z",
    "title_canon_sha256": "8eb483df96e129e6f3f1bacba73f3a8c5575bd8007976584b9ff1d88035897b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1752",
    "kind": "arxiv",
    "version": 2
  }
}