Pith Number

pith:4DLZKGEI

pith:2009:4DLZKGEITXZ7DH4N5CYR2UIYQT

not attested not anchored not stored refs pending

Precession of the Equinoxes: a pedagogical proposal for secondary education teachers

Alejandro Gangui

arxiv:0903.1508 v1 · 2009-03-09 · physics.pop-ph · astro-ph.CO · physics.ed-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DLZKGEITXZ7DH4N5CYR2UIYQT}

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	2026-05-18T04:16:41.071624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d79518889df3f19f8de8b11d511884f2c33573425835eb72e8528937621292

Aliases

arxiv: 0903.1508 · arxiv_version: 0903.1508v1 · doi: 10.48550/arxiv.0903.1508 · pith_short_12: 4DLZKGEITXZ7 · pith_short_16: 4DLZKGEITXZ7DH4N · pith_short_8: 4DLZKGEI

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/4DLZKGEITXZ7DH4N5CYR2UIYQT \
  | 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: e0d79518889df3f19f8de8b11d511884f2c33573425835eb72e8528937621292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b70512adc53b1f566a9b21f99be5c21cedd63542ccbb1199aa6f924a527525e",
    "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": "2009-03-09T15:14:18Z",
    "title_canon_sha256": "822af187153abbe55667570dacc7baff2ba7e5eedbddc66a34361533bb9fea0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1508",
    "kind": "arxiv",
    "version": 1
  }
}