Pith Number

pith:R52QF4PD

pith:2015:R52QF4PDGUIDO7WG3GY2NYY5EA

not attested not anchored not stored refs pending

The three-body problem

B. Quarles, Z. E. Musielak

arxiv:1508.02312 v1 · 2015-08-10 · astro-ph.EP · 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{R52QF4PDGUIDO7WG3GY2NYY5EA}

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	2026-05-18T01:35:33.568229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f7502f1e33510377ec6d9b1a6e31d200a2285a0293b0c619681a8622d8ef4a2

Aliases

arxiv: 1508.02312 · arxiv_version: 1508.02312v1 · doi: 10.48550/arxiv.1508.02312 · pith_short_12: R52QF4PDGUID · pith_short_16: R52QF4PDGUIDO7WG · pith_short_8: R52QF4PD

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/R52QF4PDGUIDO7WG3GY2NYY5EA \
  | 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: 8f7502f1e33510377ec6d9b1a6e31d200a2285a0293b0c619681a8622d8ef4a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "572095123f4c5df95eb2844eb50382db6b4a60a69a687efb741c0fd37e5e8f3b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2015-08-10T16:26:47Z",
    "title_canon_sha256": "2a71ecd4ad71a764cf7fefa7bfda646a700bfdff2dd63abe772c49a1821dc90f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02312",
    "kind": "arxiv",
    "version": 1
  }
}