Pith Number

pith:4XUJWOQ3

pith:2010:4XUJWOQ3BHDTOMI5MYSNGWEX4L

not attested not anchored not stored refs pending

On the Regularization of the Kepler Problem

Gert Heckman, Tim de Laat

arxiv:1007.3695 v1 · 2010-07-21 · math.SG · 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{4XUJWOQ3BHDTOMI5MYSNGWEX4L}

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	2026-05-18T01:25:40.148743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e89b3a1b09c737311d6624d35897e2ff1ded4e6b9f76cb4015c03f751c8fd8

Aliases

arxiv: 1007.3695 · arxiv_version: 1007.3695v1 · doi: 10.48550/arxiv.1007.3695 · pith_short_12: 4XUJWOQ3BHDT · pith_short_16: 4XUJWOQ3BHDTOMI5 · pith_short_8: 4XUJWOQ3

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/4XUJWOQ3BHDTOMI5MYSNGWEX4L \
  | 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: e5e89b3a1b09c737311d6624d35897e2ff1ded4e6b9f76cb4015c03f751c8fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e5348e4bad3641b8f7471187d78a58e6ba86b2e74ba42ddb89f95e33bdf6eee",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-07-21T17:06:24Z",
    "title_canon_sha256": "b6f6546ab794dfa288cdcb1f697f2e5d843ed367d22e6d0d817d0e1998fcead0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3695",
    "kind": "arxiv",
    "version": 1
  }
}