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Pith Number

pith:2UY4DLGU

pith:2012:2UY4DLGUWW3GYYHXSPRJ5ZJO5A
not attested not anchored not stored refs pending

Approximate integrals of motion

Gregor Traven, Olivier Bienaym\'e

arxiv:1211.6306 v1 · 2012-11-27 · astro-ph.GA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2UY4DLGUWW3GYYHXSPRJ5ZJO5A}

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 2026-05-18T01:52:54.411135Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d531c1acd4b5b66c60f793e29ee52ee82ef36f17a0699cc968c9fc27bd27ec9d

Aliases

arxiv: 1211.6306 · arxiv_version: 1211.6306v1 · doi: 10.48550/arxiv.1211.6306 · pith_short_12: 2UY4DLGUWW3G · pith_short_16: 2UY4DLGUWW3GYYHX · pith_short_8: 2UY4DLGU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2UY4DLGUWW3GYYHXSPRJ5ZJO5A \
  | 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: d531c1acd4b5b66c60f793e29ee52ee82ef36f17a0699cc968c9fc27bd27ec9d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8de9cd6862016d1a085d2f014e8dc32e6e9bfb5b347ee5b307d796e88c892bde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2012-11-27T13:57:45Z",
    "title_canon_sha256": "d647031406017615659c16ed84bc808f56c677602e592f62a4fdc74ab732280c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6306",
    "kind": "arxiv",
    "version": 1
  }
}