Pith Number

pith:OKP3ITA4

pith:2011:OKP3ITA4J6KPIKTAZLKXSJ7A6Q

not attested not anchored not stored refs pending

Large Lagrangian Actions on Elliptical Solutions of 2-Body and 3-Body Problems with Fixed Energies

Shiqing Zhang, Ying Lv

arxiv:1112.0733 v1 · 2011-12-04 · 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{OKP3ITA4J6KPIKTAZLKXSJ7A6Q}

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	2026-05-18T04:07:05.785001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

729fb44c1c4f94f42a60cad57927e0f4116404301b171220db3e73a3e78199ce

Aliases

arxiv: 1112.0733 · arxiv_version: 1112.0733v1 · doi: 10.48550/arxiv.1112.0733 · pith_short_12: OKP3ITA4J6KP · pith_short_16: OKP3ITA4J6KPIKTA · pith_short_8: OKP3ITA4

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/OKP3ITA4J6KPIKTAZLKXSJ7A6Q \
  | 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: 729fb44c1c4f94f42a60cad57927e0f4116404301b171220db3e73a3e78199ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97f8a158ebd9761bb9d6b7c083ee2b07a6230089e2634309b85a5ac32b99f5fa",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-04T08:07:43Z",
    "title_canon_sha256": "4b5c0bd4ffd9abf87e913d91df8381dea7d1c9644a80e1a5845a44bfe4af1ae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0733",
    "kind": "arxiv",
    "version": 1
  }
}