Pith Number

pith:AMCODJKQ

pith:2025:AMCODJKQGXFMRZOICCFXLCI24P

not attested not anchored not stored refs pending

Exploring the signature of assembly bias and modified gravity using small-scale clusterings of galaxies

Jeremy L. Tinker, Xiaohu Yang, Yirong Wang, Zhongxu Zhai

arxiv:2506.22737 v1 · 2025-06-28 · 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{AMCODJKQGXFMRZOICCFXLCI24P}

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	2026-07-05T11:28:44.429139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0304e1a55035cac8e5c8108b75891ae3d4449d3b1efb1da7693526d2a6754457

Aliases

arxiv: 2506.22737 · arxiv_version: 2506.22737v1 · doi: 10.48550/arxiv.2506.22737 · pith_short_12: AMCODJKQGXFM · pith_short_16: AMCODJKQGXFMRZOI · pith_short_8: AMCODJKQ

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/AMCODJKQGXFMRZOICCFXLCI24P \
  | 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: 0304e1a55035cac8e5c8108b75891ae3d4449d3b1efb1da7693526d2a6754457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e34d98aacfb4b670a5f31a0e78589212fbdfdd1a1173ed84a511c1d3ecf1316",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-06-28T02:45:02Z",
    "title_canon_sha256": "58f00815b5f28d9ea7b9f4fac5c80814624df6cc2ec492440ddbaaedf4d3cc7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22737",
    "kind": "arxiv",
    "version": 1
  }
}