Pith Number

pith:66MVMTVD

pith:2021:66MVMTVD2ONFFV4XIGHLCDCBYC

not attested not anchored not stored refs pending

Simulating Groups and the IntraGroup Medium: The Surprisingly Complex and Rich Middle Ground Between Clusters and Galaxies

Arif Babul, Benjamin D. Oppenheimer, Ian G. McCarthy, Iryna S. Butsky, Yannick Bah\'e

arxiv:2106.13257 v1 · 2021-06-24 · astro-ph.GA · astro-ph.CO · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66MVMTVD2ONFFV4XIGHLCDCBYC}

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	2026-07-05T02:52:17.532943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f799564ea3d39a52d797418eb10c41c08990ec3aa9ae376e5435486ab3ad9257

Aliases

arxiv: 2106.13257 · arxiv_version: 2106.13257v1 · doi: 10.48550/arxiv.2106.13257 · pith_short_12: 66MVMTVD2ONF · pith_short_16: 66MVMTVD2ONFFV4X · pith_short_8: 66MVMTVD

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/66MVMTVD2ONFFV4XIGHLCDCBYC \
  | 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: f799564ea3d39a52d797418eb10c41c08990ec3aa9ae376e5435486ab3ad9257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "716c467752fecc73cfc2fcfab169176b798f0266d0c707e6f1f77059483fa3c5",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2021-06-24T18:01:02Z",
    "title_canon_sha256": "25e22dd591267cde05645756547ce0f9203a89650e742865a50e37bf9be39869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.13257",
    "kind": "arxiv",
    "version": 1
  }
}