pith. sign in
Pith Number

pith:LROITH5E

pith:2009:LROITH5EX6S72I32QWTXZQCFBM
not attested not anchored not stored refs pending

Motion of the heavens: a pedagogical proposal for secondary education teachers

Alejandro Gangui

arxiv:0903.1387 v1 · 2009-03-09 · physics.pop-ph · astro-ph.CO · physics.ed-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LROITH5EX6S72I32QWTXZQCFBM}

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 2026-05-18T04:16:41.079739Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5c5c899fa4bfa5fd237a85a77cc0450b125f66c91cc4c10bded6a571c2c63d4f

Aliases

arxiv: 0903.1387 · arxiv_version: 0903.1387v1 · doi: 10.48550/arxiv.0903.1387 · pith_short_12: LROITH5EX6S7 · pith_short_16: LROITH5EX6S72I32 · pith_short_8: LROITH5E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LROITH5EX6S72I32QWTXZQCFBM \
  | 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: 5c5c899fa4bfa5fd237a85a77cc0450b125f66c91cc4c10bded6a571c2c63d4f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d3147a4db77e825cbaa7dcb436c337489bc13e83dc551dff33dc1985a2925a1a",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "physics.ed-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.pop-ph",
    "submitted_at": "2009-03-09T14:49:19Z",
    "title_canon_sha256": "4e56956765b9e76c78b6306303f4bbcbdedfa178dbc7a047cb9dd46d069bbc72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1387",
    "kind": "arxiv",
    "version": 1
  }
}