Pith Number

pith:4NRTZMRX

pith:2018:4NRTZMRXJZDQCZQH3VMHSM3MVX

not attested not anchored not stored refs pending

The mysterious cut-off of the Planetary Nebula Luminosity Function

Albert A. Zijlstra, Krzysztof M. Gesicki, Marcelo M. Miller Bertolami

arxiv:1805.02643 v1 · 2018-05-07 · astro-ph.SR · 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{4NRTZMRXJZDQCZQH3VMHSM3MVX}

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	2026-05-18T00:16:39.419332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3633cb2374e47016607dd5879336cadcae0aa65fca090d6bfbc51fae56f1bf2

Aliases

arxiv: 1805.02643 · arxiv_version: 1805.02643v1 · doi: 10.48550/arxiv.1805.02643 · pith_short_12: 4NRTZMRXJZDQ · pith_short_16: 4NRTZMRXJZDQCZQH · pith_short_8: 4NRTZMRX

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/4NRTZMRXJZDQCZQH3VMHSM3MVX \
  | 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: e3633cb2374e47016607dd5879336cadcae0aa65fca090d6bfbc51fae56f1bf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaf2c50b02cc4249e43bf9bce5ed8ad17f36cd76d121692e342c0d8f46d8d205",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2018-05-07T17:53:48Z",
    "title_canon_sha256": "ee223e531a99ec57b6defa91178e2d9ceef14e637d93a6089919b740a9883543"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02643",
    "kind": "arxiv",
    "version": 1
  }
}