Pith Number

pith:MW2XFJLQ

pith:2015:MW2XFJLQYYXVWEARJNLIPZO73Q

not attested not anchored not stored refs pending

The brighter galaxies reionised the Universe

Carlos S. Frenk, Joop Schaye, Mahavir Sharma, Matthieu Schaller, Richard G. Bower, Robert A. Crain, Tom Theuns

arxiv:1512.04537 v2 · 2015-12-14 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MW2XFJLQYYXVWEARJNLIPZO73Q}

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	2026-05-18T01:20:32.724530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65b572a570c62f5b10114b5687e5dfdc334095582025b9e9670173e72c361a1b

Aliases

arxiv: 1512.04537 · arxiv_version: 1512.04537v2 · doi: 10.48550/arxiv.1512.04537 · pith_short_12: MW2XFJLQYYXV · pith_short_16: MW2XFJLQYYXVWEAR · pith_short_8: MW2XFJLQ

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/MW2XFJLQYYXVWEARJNLIPZO73Q \
  | 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: 65b572a570c62f5b10114b5687e5dfdc334095582025b9e9670173e72c361a1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15a2a91a23297cc4d506350810e89686f3dca0c75a9776099c069c4975516e96",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-12-14T21:00:10Z",
    "title_canon_sha256": "c06bb0bab0ff0cf3ff3dfe9e7f4ceff32875f4d55d8bcca11838522893155e56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04537",
    "kind": "arxiv",
    "version": 2
  }
}