Pith Number

pith:2FGZ6W27

pith:2013:2FGZ6W27DUWHYBMOH27Q33PSAI

not attested not anchored not stored refs pending

The evolution of planetary nebulae. VIII. True expansion rates and visibility times

D. Schoenberner, M. Steffen, R. Jacob

arxiv:1307.6189 v2 · 2013-07-23 · astro-ph.SR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FGZ6W27DUWHYBMOH27Q33PSAI}

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	2026-05-18T01:48:41.023800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d14d9f5b5f1d2c7c058e3ebf0dedf202091389eca277ad1690ea61f48093b4cd

Aliases

arxiv: 1307.6189 · arxiv_version: 1307.6189v2 · doi: 10.48550/arxiv.1307.6189 · pith_short_12: 2FGZ6W27DUWH · pith_short_16: 2FGZ6W27DUWHYBMO · pith_short_8: 2FGZ6W27

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/2FGZ6W27DUWHYBMOH27Q33PSAI \
  | 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: d14d9f5b5f1d2c7c058e3ebf0dedf202091389eca277ad1690ea61f48093b4cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "919a6265fef83a7ca3f44dec94fed7fb7ada1013f840ecffe3abba8506a4cbae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2013-07-23T18:49:40Z",
    "title_canon_sha256": "8524d682bab33e78790e9a1df313e46635ca9506ec48ff56975f945a7981956f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6189",
    "kind": "arxiv",
    "version": 2
  }
}