Pith Number

pith:3BQ4DMJ2

pith:2016:3BQ4DMJ2LDAJ3PVZVEIEDFPUDY

not attested not anchored not stored refs pending

The galaxy population in cold and warm dark matter cosmologies

Andrew P. Cooper, Carlos S. Frenk, John Helly, Lan Wang, Liang Gao, Lilian Jiang, Lizhi Xie, Mark R. Lovell, Violeta Gonzalez-Perez, Wojciech A. Hellwing

arxiv:1612.04540 v2 · 2016-12-14 · 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{3BQ4DMJ2LDAJ3PVZVEIEDFPUDY}

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	2026-05-18T00:43:29.549842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d861c1b13a58c09dbeb9a9104195f41e3d0500a1687164f4281fca7b92a0ed8f

Aliases

arxiv: 1612.04540 · arxiv_version: 1612.04540v2 · doi: 10.48550/arxiv.1612.04540 · pith_short_12: 3BQ4DMJ2LDAJ · pith_short_16: 3BQ4DMJ2LDAJ3PVZ · pith_short_8: 3BQ4DMJ2

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/3BQ4DMJ2LDAJ3PVZVEIEDFPUDY \
  | 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: d861c1b13a58c09dbeb9a9104195f41e3d0500a1687164f4281fca7b92a0ed8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125159a047ed4674ceb0a3471c05a3bc7865b4bacaee9141d27ebc26fbf9a31a",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2016-12-14T09:01:16Z",
    "title_canon_sha256": "e670f1602aa0f68cc1ddd7d858aa9a26cace9a443407d4e4a54e3f21939a535c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04540",
    "kind": "arxiv",
    "version": 2
  }
}