Pith Number

pith:HXWN2D7H

pith:2007:HXWN2D7HMQBDSONHH63PP73X7V

not attested not anchored not stored refs pending

Lectures on Astronomy, Astrophysics, and Cosmology

Luis A. Anchordoqui

arxiv:0706.1988 v3 · 2007-06-14 · physics.ed-ph · astro-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{HXWN2D7HMQBDSONHH63PP73X7V}

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	2026-05-18T01:12:25.462231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3decdd0fe764023939a73fb6f7ff77fd73129da4e3eacc1220cba21fe91165a2

Aliases

arxiv: 0706.1988 · arxiv_version: 0706.1988v3 · doi: 10.48550/arxiv.0706.1988 · pith_short_12: HXWN2D7HMQBD · pith_short_16: HXWN2D7HMQBDSONH · pith_short_8: HXWN2D7H

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/HXWN2D7HMQBDSONHH63PP73X7V \
  | 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: 3decdd0fe764023939a73fb6f7ff77fd73129da4e3eacc1220cba21fe91165a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be4b69d5b69533149969d726f9947def2916e22dc3dcc1ded8bf36febf6fbeee",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2007-06-14T12:41:54Z",
    "title_canon_sha256": "cc2d547d309a6f53e00f7c29456a5f3b638aa51b6c6d158ad17808a6d8b81ff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1988",
    "kind": "arxiv",
    "version": 3
  }
}