Pith Number

pith:56E3GSFE

pith:2009:56E3GSFEK6HQZ7YCQVS53QRAQD

not attested not anchored not stored refs pending

The Planetary Nebula Luminosity Function: Pieces of the Puzzle

Robin Ciardullo

arxiv:0909.4356 v1 · 2009-09-24 · astro-ph.CO · 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{56E3GSFEK6HQZ7YCQVS53QRAQD}

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	2026-05-18T04:32:34.823800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef89b348a4578f0cff028565ddc22080e6d0d95d4d3de9b8ff38fc173bcbb519

Aliases

arxiv: 0909.4356 · arxiv_version: 0909.4356v1 · doi: 10.48550/arxiv.0909.4356 · pith_short_12: 56E3GSFEK6HQ · pith_short_16: 56E3GSFEK6HQZ7YC · pith_short_8: 56E3GSFE

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/56E3GSFEK6HQZ7YCQVS53QRAQD \
  | 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: ef89b348a4578f0cff028565ddc22080e6d0d95d4d3de9b8ff38fc173bcbb519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c8194d8822ed3dd068f1b2d465703a8b9af780aa7bf51c9fed282c7b095d9a8",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-09-24T18:31:04Z",
    "title_canon_sha256": "eca603eb44496354b0bd480ff5dbd6b626838bd0eb959a771db2928751a31aa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4356",
    "kind": "arxiv",
    "version": 1
  }
}