Pith Number

pith:J2DR32V2

pith:2011:J2DR32V2DON7AANJP2JBCMNTTV

not attested not anchored not stored refs pending

Faint Companions of Isolated 2MIG Galaxies

I. D. Karachentsev, O. V. Melnyk, V. E. Karachentseva

arxiv:1112.2821 v1 · 2011-12-13 · 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{J2DR32V2DON7AANJP2JBCMNTTV}

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	2026-05-18T01:59:11.122429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e871deaba1b9bf001a97e921131b39d57f603fa07c39ce2841d908274ad0699

Aliases

arxiv: 1112.2821 · arxiv_version: 1112.2821v1 · doi: 10.48550/arxiv.1112.2821 · pith_short_12: J2DR32V2DON7 · pith_short_16: J2DR32V2DON7AANJ · pith_short_8: J2DR32V2

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/J2DR32V2DON7AANJP2JBCMNTTV \
  | 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: 4e871deaba1b9bf001a97e921131b39d57f603fa07c39ce2841d908274ad0699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4d0b139d7d67ee836d77f19d888dbb9f758fc7147120c583b766ba419c43166",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-12-13T08:42:11Z",
    "title_canon_sha256": "78d985f18d6294428279a4eead29c263946ca109a2e3d54e0c402d09be9336fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2821",
    "kind": "arxiv",
    "version": 1
  }
}