Pith Number

pith:E6EFN2KZ

pith:2005:E6EFN2KZBYRHRTZWZQCRNQIGLF

not attested not anchored not stored refs pending

Downsizing Scaling Relations

A. B\"ohm, A. Fritz (G\"ottingen), B. L. Ziegler

arxiv:astro-ph/0509792 v1 · 2005-09-27 · 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{E6EFN2KZBYRHRTZWZQCRNQIGLF}

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	2026-07-04T16:52:55.978101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

278856e9590e2278cf36cc0516c10659522b2aed602c3c7b35a4b3edd96427c2

Aliases

arxiv: astro-ph/0509792 · arxiv_version: astro-ph/0509792v1 · doi: 10.48550/arxiv.astro-ph/0509792 · pith_short_12: E6EFN2KZBYRH · pith_short_16: E6EFN2KZBYRHRTZW · pith_short_8: E6EFN2KZ

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/E6EFN2KZBYRHRTZWZQCRNQIGLF \
  | 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: 278856e9590e2278cf36cc0516c10659522b2aed602c3c7b35a4b3edd96427c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce57046a22f1f1e7f6f1e8bfbcb965d763d3aa15075097c4ce060f77b418add5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-09-27T07:45:07Z",
    "title_canon_sha256": "37988e41df311028888a433aa4b5790eba9ff519924a931f5b8554c4f3814139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0509792",
    "kind": "arxiv",
    "version": 1
  }
}