Pith Number

pith:PCIHY2N4

pith:2010:PCIHY2N4RU2ZCRW4PEQDPOY5IL

not attested not anchored not stored refs pending

The Variation of the Galaxy Luminosity Function with Group Properties

Aaron Robotham, Roberto De Propris, Steve Phillipps

arxiv:1003.1981 v1 · 2010-03-09 · 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{PCIHY2N4RU2ZCRW4PEQDPOY5IL}

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	2026-05-18T02:08:35.750429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78907c69bc8d359146dc792037bb1d42d2ad30ac24b19552aac3b96973b3b3da

Aliases

arxiv: 1003.1981 · arxiv_version: 1003.1981v1 · doi: 10.48550/arxiv.1003.1981 · pith_short_12: PCIHY2N4RU2Z · pith_short_16: PCIHY2N4RU2ZCRW4 · pith_short_8: PCIHY2N4

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/PCIHY2N4RU2ZCRW4PEQDPOY5IL \
  | 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: 78907c69bc8d359146dc792037bb1d42d2ad30ac24b19552aac3b96973b3b3da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4f4a428a38cda3e83cdb725d367544809f06f01223e18ae71aade340be39cf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-03-09T21:00:40Z",
    "title_canon_sha256": "b2ed2da9a95d33f7f39b58333234797e7e787adbadc78eceac2ecfc4786a1d46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1981",
    "kind": "arxiv",
    "version": 1
  }
}