Pith Number

pith:6FO3TF7U

pith:2015:6FO3TF7UQDIGU2NTHSSBORQTXC

not attested not anchored not stored refs pending

The galaxy luminosity function in groups and clusters: the faint-end upturn and the connection to the field luminosity function

Brice M\'enard, Houjun Mo, Ting-Wen Lan

arxiv:1509.07870 v3 · 2015-09-25 · 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{6FO3TF7UQDIGU2NTHSSBORQTXC}

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	2026-05-18T01:13:38.031032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f15db997f480d06a69b33ca4174613b8979042b2c6086a465ccc5c0be91ed317

Aliases

arxiv: 1509.07870 · arxiv_version: 1509.07870v3 · doi: 10.48550/arxiv.1509.07870 · pith_short_12: 6FO3TF7UQDIG · pith_short_16: 6FO3TF7UQDIGU2NT · pith_short_8: 6FO3TF7U

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/6FO3TF7UQDIGU2NTHSSBORQTXC \
  | 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: f15db997f480d06a69b33ca4174613b8979042b2c6086a465ccc5c0be91ed317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41859af3644d33f633ce265c459e1a79f4d441cf476d1e413119d2c2d226cc32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2015-09-25T20:04:17Z",
    "title_canon_sha256": "b86eeedfc9ac38591998aeb64afc1d5c63f5721e2ed79d59ab045bada61857d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07870",
    "kind": "arxiv",
    "version": 3
  }
}