Pith Number

pith:ZP6YIXIB

pith:2012:ZP6YIXIBG3DQVUPLBZ4DDY7X7R

not attested not anchored not stored refs pending

Regularization of the Kepler problem on the Sphere

Manuele Santoprete, Shengda Hu

arxiv:1206.1757 v1 · 2012-06-08 · math.DS · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZP6YIXIBG3DQVUPLBZ4DDY7X7R}

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	2026-05-18T03:53:55.526348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbfd845d0136c70ad1eb0e7831e3f7fc733bdb195797c9fef9c6442fad157d2e

Aliases

arxiv: 1206.1757 · arxiv_version: 1206.1757v1 · doi: 10.48550/arxiv.1206.1757 · pith_short_12: ZP6YIXIBG3DQ · pith_short_16: ZP6YIXIBG3DQVUPL · pith_short_8: ZP6YIXIB

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/ZP6YIXIBG3DQVUPLBZ4DDY7X7R \
  | 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: cbfd845d0136c70ad1eb0e7831e3f7fc733bdb195797c9fef9c6442fad157d2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cefbe6c045a127b84bdc6e8752711c3ead6054896dd9f4262cb17643b8b7057e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-08T13:41:23Z",
    "title_canon_sha256": "c3a26f1591519c256bea5306b4b474dccb021393d50a062e87e424931c81fd68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1757",
    "kind": "arxiv",
    "version": 1
  }
}