Pith Number

pith:FZJ4LQSN

pith:2026:FZJ4LQSNYWFMFZ4NEML2ZMGCTP

not attested not anchored not stored refs pending

Galaxy formation in modified gravity -- II. galaxy halo connection and assembly bias

Baojiu Li, Michael Collier, Sownak Bose

arxiv:2606.12565 v1 · 2026-06-10 · 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{FZJ4LQSNYWFMFZ4NEML2ZMGCTP}

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	2026-06-12T00:07:54.882549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e53c5c24dc58ac2e78d2317acb0c29befd1c70ac5c6a6701c2d10f4b5baf71a

Aliases

arxiv: 2606.12565 · arxiv_version: 2606.12565v1 · doi: 10.48550/arxiv.2606.12565 · pith_short_12: FZJ4LQSNYWFM · pith_short_16: FZJ4LQSNYWFMFZ4N · pith_short_8: FZJ4LQSN

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/FZJ4LQSNYWFMFZ4NEML2ZMGCTP \
  | 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: 2e53c5c24dc58ac2e78d2317acb0c29befd1c70ac5c6a6701c2d10f4b5baf71a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7223f2708575dd46bfce6ba1cbcbbd2008194ccba992de7c805223975e2a1402",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-10T18:16:06Z",
    "title_canon_sha256": "d87207c6c88affd55efc44ef1f07c6adf878ee145e8a834ce115422e9d7a306e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12565",
    "kind": "arxiv",
    "version": 1
  }
}