Pith Number

pith:DELZ4G5R

pith:2000:DELZ4G5RNFJO7BPAXA4LLFP7ZP

not attested not anchored not stored refs pending

Hierarchical Galaxy Formation

Carlos Frenk, Carlton Baugh, Cedric Lacey, Shaun Cole

arxiv:astro-ph/0007281 v1 · 2000-07-19 · 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{DELZ4G5RNFJO7BPAXA4LLFP7ZP}

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.

Cited by

2 papers in Pith

Biased tracers, Hybrid Effective Field Theory and Modified Gravity

Receipt and verification

First computed	2026-07-04T16:16:55.733312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19179e1bb16952ef85e0b838b595ffcbcbd140a80e7f2dae71e9d8fe581573d6

Aliases

arxiv: astro-ph/0007281 · arxiv_version: astro-ph/0007281v1 · doi: 10.48550/arxiv.astro-ph/0007281 · pith_short_12: DELZ4G5RNFJO · pith_short_16: DELZ4G5RNFJO7BPA · pith_short_8: DELZ4G5R

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/DELZ4G5RNFJO7BPAXA4LLFP7ZP \
  | 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: 19179e1bb16952ef85e0b838b595ffcbcbd140a80e7f2dae71e9d8fe581573d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cddf932a380b915b4fe6b6973609ef07cc87b9640367b3cdd5e9e7ea5409401d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-07-19T14:26:24Z",
    "title_canon_sha256": "ef8489a2637d217769e35b05b4b541fceff7e9b22831404dfa7c6e11010165b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0007281",
    "kind": "arxiv",
    "version": 1
  }
}