Pith Number

pith:HBUP3B3Y

pith:2000:HBUP3B3YCLSXY5PSEEKW7EJ7TI

not attested not anchored not stored refs pending

Populating a cluster of galaxies - I. Results at z=0

2), (2) Harvard-CfA, (3) Padova), Giuseppe Tormen (3), Guinevere Kauffmann (1) ((1) MPA, Simon White (1), Volker Springel (1

arxiv:astro-ph/0012055 v1 · 2000-12-03 · 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{HBUP3B3YCLSXY5PSEEKW7EJ7TI}

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

DEMNUni: the Sunyaev-Zel'dovich effect in the presence of massive neutrinos and dynamical dark energy

Caught in the Cosmic Web: Environmental Impacts on the Halo Substructure Boosts to Dark Matter Annihilation Signals

Receipt and verification

First computed	2026-07-04T15:51:44.384212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3868fd877812e57c75f221156f913f9a2cba79f36cb6d1dbf3b73beca3dc8a56

Aliases

arxiv: astro-ph/0012055 · arxiv_version: astro-ph/0012055v1 · doi: 10.48550/arxiv.astro-ph/0012055 · pith_short_12: HBUP3B3YCLSX · pith_short_16: HBUP3B3YCLSXY5PS · pith_short_8: HBUP3B3Y

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/HBUP3B3YCLSXY5PSEEKW7EJ7TI \
  | 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: 3868fd877812e57c75f221156f913f9a2cba79f36cb6d1dbf3b73beca3dc8a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51fb16f740bcd0e6cdf9c6b7fa12ca2c38aa8a27c881733b25b65433e5678c9c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-12-03T14:33:15Z",
    "title_canon_sha256": "78ca7ab97e97954e39be93990fe51f858abbaf2371752aaaa86ea6a4bd0d8df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0012055",
    "kind": "arxiv",
    "version": 1
  }
}