Pith Number

pith:MMGVFR2A

pith:2006:MMGVFR2AVNSFOI264FTVHWP3QK

not attested not anchored not stored refs pending

Size and Orientation of the `Z' in ZRGs

Christian Zier

arxiv:astro-ph/0602241 v1 · 2006-02-10 · 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{MMGVFR2AVNSFOI264FTVHWP3QK}

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	2026-05-18T01:40:32.486844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

630d52c740ab6457235ee16753d9fb82afe44063469d6476cacf95d95b53c10b

Aliases

arxiv: astro-ph/0602241 · arxiv_version: astro-ph/0602241v1 · doi: 10.48550/arxiv.astro-ph/0602241 · pith_short_12: MMGVFR2AVNSF · pith_short_16: MMGVFR2AVNSFOI26 · pith_short_8: MMGVFR2A

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/MMGVFR2AVNSFOI264FTVHWP3QK \
  | 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: 630d52c740ab6457235ee16753d9fb82afe44063469d6476cacf95d95b53c10b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f3862f507f4a716ce4e774f2f83a88500c46f255f7745799af76cc33bfa59e8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-02-10T13:55:06Z",
    "title_canon_sha256": "b1f6c4c1d75e718c6dc77e33f3d929a2c6cb60e9fb0db7c3c57cfd30392dd541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0602241",
    "kind": "arxiv",
    "version": 1
  }
}