Pith Number

pith:NQPKYWCJ

pith:2005:NQPKYWCJNL7BGX3E73WE3LROJ3

not attested not anchored not stored refs pending

Closed Form Approximations for the Trajectories of the Three Body Problem

AbuBakr Mehmood, Ghulam Shabbir, Syed Umer Abbas Shah

arxiv:math-ph/0501020 v1 · 2005-01-10 · 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{NQPKYWCJNL7BGX3E73WE3LROJ3}

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	2026-05-18T01:05:30.162178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c1eac58496afe135f64feec4dae2e4ed9df64cc95cd956fb1dcc3cc3ff0ba3d

Aliases

arxiv: math-ph/0501020 · arxiv_version: math-ph/0501020v1 · doi: 10.48550/arxiv.math-ph/0501020 · pith_short_12: NQPKYWCJNL7B · pith_short_16: NQPKYWCJNL7BGX3E · pith_short_8: NQPKYWCJ

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/NQPKYWCJNL7BGX3E73WE3LROJ3 \
  | 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: 6c1eac58496afe135f64feec4dae2e4ed9df64cc95cd956fb1dcc3cc3ff0ba3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0471b0fffd6f3bcebefb07ae5beb114426d50a5a70980b0ece94811844c05c0e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-01-10T06:41:43Z",
    "title_canon_sha256": "958911800e567c3bd2aa946c9fc8da9a0f745102ba63242bf59e46bc61194eb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0501020",
    "kind": "arxiv",
    "version": 1
  }
}