Pith Number

pith:TZPUNJ2U

pith:2010:TZPUNJ2U5XLCXXV5E5HIGK4W75

not attested not anchored not stored refs pending

The contact geometry of the restricted 3-body problem

Gabriel P. Paternain, Otto van Koert, Peter Albers, Urs Frauenfelder

arxiv:1010.2140 v1 · 2010-10-11 · math.SG · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZPUNJ2U5XLCXXV5E5HIGK4W75}

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	2026-05-18T03:49:01.263596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5f46a754edd62bdebd274e832b96ff665912084a9cc9d6c152105f1c28a6eb

Aliases

arxiv: 1010.2140 · arxiv_version: 1010.2140v1 · doi: 10.48550/arxiv.1010.2140 · pith_short_12: TZPUNJ2U5XLC · pith_short_16: TZPUNJ2U5XLCXXV5 · pith_short_8: TZPUNJ2U

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/TZPUNJ2U5XLCXXV5E5HIGK4W75 \
  | 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: 9e5f46a754edd62bdebd274e832b96ff665912084a9cc9d6c152105f1c28a6eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69330f684e119f9df152157d7998e27c1f0bed97b83e98287e7f30d849beeff",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-10-11T15:42:58Z",
    "title_canon_sha256": "83e267f132e3336db50ff2e0dad7f7ff15b24b6075cb31f3d7d68bf55e787345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2140",
    "kind": "arxiv",
    "version": 1
  }
}