Pith Number

pith:LJSZA3YT

pith:2011:LJSZA3YTGK3NKSCEPQAJLNPEV6

not attested not anchored not stored refs pending

Symplectic integrators in the shearing sheet

Hanno Rein, Scott Tremaine

arxiv:1103.1376 v2 · 2011-03-07 · astro-ph.EP · astro-ph.GA · astro-ph.IM · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJSZA3YTGK3NKSCEPQAJLNPEV6}

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	2026-05-18T04:19:54.527839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a65906f1332b6d548447c0095b5e4af9eae0084c0c432c25152d10070d95a3b

Aliases

arxiv: 1103.1376 · arxiv_version: 1103.1376v2 · doi: 10.48550/arxiv.1103.1376 · pith_short_12: LJSZA3YTGK3N · pith_short_16: LJSZA3YTGK3NKSCE · pith_short_8: LJSZA3YT

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/LJSZA3YTGK3NKSCEPQAJLNPEV6 \
  | 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: 5a65906f1332b6d548447c0095b5e4af9eae0084c0c432c25152d10070d95a3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c94b4c2c86ba72e3ea2cd8fde4c05fb3d2789207026036cb8cf9b55a98e80c3d",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.IM",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2011-03-07T20:59:20Z",
    "title_canon_sha256": "d4ce4eb6113f54b6bbf5cee52904576f54662500cecb6ed5c39476f50026835d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1376",
    "kind": "arxiv",
    "version": 2
  }
}