Pith Number

pith:OYV6DKMJ

pith:2010:OYV6DKMJ5SJN7YPE5YZC6664XU

not attested not anchored not stored refs pending

The Luminosity Function in Groups of Galaxis

R. Brent Tully

arxiv:1010.3788 v1 · 2010-10-19 · 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{OYV6DKMJ5SJN7YPE5YZC6664XU}

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	2026-05-18T02:05:01.385414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

762be1a989ec92dfe1e4ee322f7bdcbd2b233bd7243576ab8cbd9f68e109dee2

Aliases

arxiv: 1010.3788 · arxiv_version: 1010.3788v1 · doi: 10.48550/arxiv.1010.3788 · pith_short_12: OYV6DKMJ5SJN · pith_short_16: OYV6DKMJ5SJN7YPE · pith_short_8: OYV6DKMJ

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/OYV6DKMJ5SJN7YPE5YZC6664XU \
  | 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: 762be1a989ec92dfe1e4ee322f7bdcbd2b233bd7243576ab8cbd9f68e109dee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e09afac0b21e9fad609591f66fdca57c9d436ff2cadcfee219c568ecb284122",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-10-19T03:27:21Z",
    "title_canon_sha256": "fc80b7a40c8719e3e13f9d3cc3fd87cb009e6145b830eef6ebc1b0617ab71691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3788",
    "kind": "arxiv",
    "version": 1
  }
}