Pith Number

pith:4ZRUM6VA

pith:2010:4ZRUM6VAZBSU3WJZJGMPL2VL5M

not attested not anchored not stored refs pending

The outer halos of elliptical galaxies

Ortwin Gerhard (MPE)

arxiv:1009.3380 v1 · 2010-09-17 · astro-ph.GA · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZRUM6VAZBSU3WJZJGMPL2VL5M}

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	2026-05-18T02:05:25.071252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e663467aa0c8654dd9394998f5eaabeb15b285d4468b3de0daaea11b9b7a4048

Aliases

arxiv: 1009.3380 · arxiv_version: 1009.3380v1 · doi: 10.48550/arxiv.1009.3380 · pith_short_12: 4ZRUM6VAZBSU · pith_short_16: 4ZRUM6VAZBSU3WJZ · pith_short_8: 4ZRUM6VA

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/4ZRUM6VAZBSU3WJZJGMPL2VL5M \
  | 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: e663467aa0c8654dd9394998f5eaabeb15b285d4468b3de0daaea11b9b7a4048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b739fb2841a8124e5a6cf0ff5784659f0f4c1cd39f55a58994a12e8dd7caa23e",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2010-09-17T09:42:32Z",
    "title_canon_sha256": "85e5ba0c9d70382306e5635874a7cba12f1d6d039cdf4c40c2741ec263122dfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3380",
    "kind": "arxiv",
    "version": 1
  }
}