Pith Number

pith:AI6ZD6QO

pith:2011:AI6ZD6QO4OOT6NEVZUGOKPCOQP

not attested not anchored not stored refs pending

Compact groups in theory and practice -- IV. The connection to large-scale structure

Alan W. McConnachie, David R. Patton, J. Trevor Mendel, Luc Simard, Sara L. Ellison

arxiv:1106.1184 v1 · 2011-06-06 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AI6ZD6QO4OOT6NEVZUGOKPCOQP}

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	2026-05-18T02:01:41.540878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

023d91fa0ee39d3f3495cd0ce53c4e83c9c2588317b2b33b2bbcf8ba95e76967

Aliases

arxiv: 1106.1184 · arxiv_version: 1106.1184v1 · doi: 10.48550/arxiv.1106.1184 · pith_short_12: AI6ZD6QO4OOT · pith_short_16: AI6ZD6QO4OOT6NEV · pith_short_8: AI6ZD6QO

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/AI6ZD6QO4OOT6NEVZUGOKPCOQP \
  | 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: 023d91fa0ee39d3f3495cd0ce53c4e83c9c2588317b2b33b2bbcf8ba95e76967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "450774f455193665acc2b50b3ef7ecd2df80848fd5ade2c0169c3d9a8d1fa63e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-06-06T20:08:13Z",
    "title_canon_sha256": "1cd7ea0aa1c760bb8f445771ec73c0e92b3ce215ac07e989de6a86a588407a5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1184",
    "kind": "arxiv",
    "version": 1
  }
}