Pith Number

pith:2XP4UBKX

pith:2015:2XP4UBKXJ7UXBWUT43CU3JOYYV

not attested not anchored not stored refs pending

Bifurcations of lunisolar secular resonances for space debris orbits

Alessandra Celletti, C\u{a}t\u{a}lin Gale\c{s}, Giuseppe Pucacco

arxiv:1512.02178 v2 · 2015-11-08 · astro-ph.EP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XP4UBKXJ7UXBWUT43CU3JOYYV}

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	2026-05-18T01:10:20.166845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5dfca05574fe970da93e6c54da5d8c56305d6127a7375e3690d04fba4d859bf

Aliases

arxiv: 1512.02178 · arxiv_version: 1512.02178v2 · doi: 10.48550/arxiv.1512.02178 · pith_short_12: 2XP4UBKXJ7UX · pith_short_16: 2XP4UBKXJ7UXBWUT · pith_short_8: 2XP4UBKX

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/2XP4UBKXJ7UXBWUT43CU3JOYYV \
  | 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: d5dfca05574fe970da93e6c54da5d8c56305d6127a7375e3690d04fba4d859bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f85c285aab386008bb70e195bca6e939a7f619629c8000548eb23023e5a2a7e0",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2015-11-08T07:03:22Z",
    "title_canon_sha256": "9e3f17464669e4ca1d55c77e1a36e9291b804d222aa51bb0da28ff53e34bff9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02178",
    "kind": "arxiv",
    "version": 2
  }
}