Pith Number

pith:4KY4PCWB

pith:2007:4KY4PCWBSX3KOLYLH665JV5FVH

not attested not anchored not stored refs pending

The formation of galaxy disks in a hierarchical universe

2), (2) University of Oxford), A. J. Benson (1) ((1) California Institute of Technology, M. J. Stringer (1

arxiv:astro-ph/0703380 v2 · 2007-03-14 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KY4PCWBSX3KOLYLH665JV5FVH}

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	2026-05-18T04:09:03.486111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b1c78ac195f6a72f0b3fbdd4d7a5a9fdae076ecfe5d0387c8f4def4db72932

Aliases

arxiv: astro-ph/0703380 · arxiv_version: astro-ph/0703380v2 · doi: 10.48550/arxiv.astro-ph/0703380 · pith_short_12: 4KY4PCWBSX3K · pith_short_16: 4KY4PCWBSX3KOLYL · pith_short_8: 4KY4PCWB

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/4KY4PCWBSX3KOLYLH665JV5FVH \
  | 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: e2b1c78ac195f6a72f0b3fbdd4d7a5a9fdae076ecfe5d0387c8f4def4db72932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ecb5a69e88526b46f259bcd2b5e71642b1ed7f541deeaf9be3b02212b09fa6c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-03-14T23:32:18Z",
    "title_canon_sha256": "3034e389739ee1520cbb6bb4b32792861653f08e7e43a1f92506d9b6ff2b7f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0703380",
    "kind": "arxiv",
    "version": 2
  }
}