Pith Number

pith:X7UB7ZXV

pith:2004:X7UB7ZXVINPJCXYCXWEOAEZMNU

not attested not anchored not stored refs pending

The Ultimate Halo Mass in a LCDM Universe

(2) University of Chicago), August E. Evrard (1), Fred C. Adams (1), Michael T. Busha (1), Risa H. Wechsler (2) ((1)University of Michigan

arxiv:astro-ph/0412161 v1 · 2004-12-07 · 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{X7UB7ZXVINPJCXYCXWEOAEZMNU}

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	2026-05-18T04:22:20.990674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe81fe6f5435e915f02bd88e0132c6d3d86af6cdeec2bd3f165ee0b99460514

Aliases

arxiv: astro-ph/0412161 · arxiv_version: astro-ph/0412161v1 · doi: 10.48550/arxiv.astro-ph/0412161 · pith_short_12: X7UB7ZXVINPJ · pith_short_16: X7UB7ZXVINPJCXYC · pith_short_8: X7UB7ZXV

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/X7UB7ZXVINPJCXYCXWEOAEZMNU \
  | 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: bfe81fe6f5435e915f02bd88e0132c6d3d86af6cdeec2bd3f165ee0b99460514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba6a881e37afe8eb102445cad8e4a8721e2e0809531ba262b0cf921a9e41c92",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-12-07T16:39:07Z",
    "title_canon_sha256": "b9fde437243b761b42209d01aa2758d4d54d9b8863e6b65088a6af629ab4e159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0412161",
    "kind": "arxiv",
    "version": 1
  }
}