Pith Number

pith:6JVLGLC3

pith:2016:6JVLGLC3NQJHVPDOGLQOL4GN2I

not attested not anchored not stored refs pending

The fraction of BL Lac objects in groups of galaxies

Hern\'an Muriel

arxiv:1605.09397 v1 · 2016-05-30 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JVLGLC3NQJHVPDOGLQOL4GN2I}

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	2026-05-18T01:13:17.426910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f26ab32c5b6c127abc6e32e0e5f0cdd21b805eab9a6dd5d05ecfd81146ad3285

Aliases

arxiv: 1605.09397 · arxiv_version: 1605.09397v1 · doi: 10.48550/arxiv.1605.09397 · pith_short_12: 6JVLGLC3NQJH · pith_short_16: 6JVLGLC3NQJHVPDO · pith_short_8: 6JVLGLC3

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/6JVLGLC3NQJHVPDOGLQOL4GN2I \
  | 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: f26ab32c5b6c127abc6e32e0e5f0cdd21b805eab9a6dd5d05ecfd81146ad3285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44d2cadab48bf8db98d4d2b18823e863ee2c74d1359fa6e06418c00ba4b2527e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2016-05-30T20:01:17Z",
    "title_canon_sha256": "3e2428b60d219e656e281236c03ff7a5cf5a75f6936aef74a75a0fd6a8552d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09397",
    "kind": "arxiv",
    "version": 1
  }
}