Pith Number

pith:462XF7C3

pith:2010:462XF7C36HMV5EBXVKECDRSJXL

not attested not anchored not stored refs pending

Evolution of proto-galaxy-clusters to their present form: theory and observations

Carl H. Gibson (Univ. of Cal. San Diego), Rudy E. Schild (Harvard)

arxiv:1004.2016 v1 · 2010-04-12 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{462XF7C36HMV5EBXVKECDRSJXL}

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	2026-05-18T04:22:40.405028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7b572fc5bf1d95e9037aa8821c649bae72bfcb6bcb551adf2ea49482d0dcd97

Aliases

arxiv: 1004.2016 · arxiv_version: 1004.2016v1 · doi: 10.48550/arxiv.1004.2016 · pith_short_12: 462XF7C36HMV · pith_short_16: 462XF7C36HMV5EBX · pith_short_8: 462XF7C3

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/462XF7C36HMV5EBXVKECDRSJXL \
  | 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: e7b572fc5bf1d95e9037aa8821c649bae72bfcb6bcb551adf2ea49482d0dcd97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fae90d43cc20bb547682902e6e118f758326b0121492b37100f3c17cd2301f0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-04-12T17:57:42Z",
    "title_canon_sha256": "47ef34e08ae6d0828038231db394c65bb9978c1f3b6b522d504bb4252ad5e947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2016",
    "kind": "arxiv",
    "version": 1
  }
}