Pith Number

pith:HGTERXAC

pith:2009:HGTERXACVSR3CFRWRVEKNWST7D

not attested not anchored not stored refs pending

Cluster Galaxies Die Hard

Anja von der Linden, Gabriella De Lucia, Guinevere Kauffmann, Simone M. Weinmann

arxiv:0912.2741 v2 · 2009-12-14 · 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{HGTERXACVSR3CFRWRVEKNWST7D}

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	2026-05-18T02:10:23.758629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a648dc02aca3b116368d48a6da53f8cb4f67bab43902807bbfa122c9e928bf

Aliases

arxiv: 0912.2741 · arxiv_version: 0912.2741v2 · doi: 10.48550/arxiv.0912.2741 · pith_short_12: HGTERXACVSR3 · pith_short_16: HGTERXACVSR3CFRW · pith_short_8: HGTERXAC

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/HGTERXACVSR3CFRWRVEKNWST7D \
  | 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: 39a648dc02aca3b116368d48a6da53f8cb4f67bab43902807bbfa122c9e928bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ca02ce7b67be96b664c63be59c17ab24152bf9f48ccb3d678b27bf02e164b3",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2009-12-14T21:04:06Z",
    "title_canon_sha256": "1d83d8b35158f87601ee36c722b1efe7c7c92931bfce24cff769d54ede0e6b5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2741",
    "kind": "arxiv",
    "version": 2
  }
}