Pith Number

pith:GFCIFIPV

pith:2010:GFCIFIPV5WSSLIF3KQ2T56PJSJ

not attested not anchored not stored refs pending

Characterizing Galaxy Clusters with Gravitational Potential

Erwin T. Lau

arxiv:1009.2124 v2 · 2010-09-11 · 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{GFCIFIPV5WSSLIF3KQ2T56PJSJ}

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	2026-05-18T04:20:24.959966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

314482a1f5eda525a0bb54353ef9e9927db19100e3b75bef424ecf689d454e41

Aliases

arxiv: 1009.2124 · arxiv_version: 1009.2124v2 · doi: 10.48550/arxiv.1009.2124 · pith_short_12: GFCIFIPV5WSS · pith_short_16: GFCIFIPV5WSSLIF3 · pith_short_8: GFCIFIPV

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/GFCIFIPV5WSSLIF3KQ2T56PJSJ \
  | 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: 314482a1f5eda525a0bb54353ef9e9927db19100e3b75bef424ecf689d454e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c7d69840cc83ac4043719c94f50ed7c88dff022c3839d92645cbcc1ddedcb86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-09-11T00:48:03Z",
    "title_canon_sha256": "0fe75d3cb71d4edd8e5d31421ff04fa389501356ca05419eade0582402dbdcf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2124",
    "kind": "arxiv",
    "version": 2
  }
}