Pith Number

pith:GP77N4R5

pith:2009:GP77N4R5LNTTVFHZRUGXR6OIU5

not attested not anchored not stored refs pending

Central Configurations of the Five-Body Problem with Equal Masses

Manuele Santoprete, Tsung-Lin Lee

arxiv:0906.0148 v1 · 2009-05-31 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GP77N4R5LNTTVFHZRUGXR6OIU5}

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	2026-05-18T02:13:30.299803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33fff6f23d5b673a94f98d0d78f9c8a77da3c609a55b2a49b0042e9ff95e492b

Aliases

arxiv: 0906.0148 · arxiv_version: 0906.0148v1 · doi: 10.48550/arxiv.0906.0148 · pith_short_12: GP77N4R5LNTT · pith_short_16: GP77N4R5LNTTVFHZ · pith_short_8: GP77N4R5

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/GP77N4R5LNTTVFHZRUGXR6OIU5 \
  | 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: 33fff6f23d5b673a94f98d0d78f9c8a77da3c609a55b2a49b0042e9ff95e492b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6044740db5b23df79e7ca6bbf38715aae50df84f67844e9efc445467f57a0a06",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-05-31T12:08:07Z",
    "title_canon_sha256": "0dd4e4b1a18a8c041b1fff970ed11dcc6f42c2e63788eaee9b30fc4a3c033091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0148",
    "kind": "arxiv",
    "version": 1
  }
}