Pith Number

pith:Z657RMZE

pith:2011:Z657RMZEJBMZNKGAD5ASQG2K3H

not attested not anchored not stored refs pending

On The Apparent Narrowing of Radio Recombination Lines at High Principal Quantum Numbers

J. Alexander, S. Gulyaev

arxiv:1112.1767 v3 · 2011-12-08 · 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{Z657RMZEJBMZNKGAD5ASQG2K3H}

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	2026-05-18T04:04:18.572051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfbbf8b324485996a8c01f41281b4ad9ec0b4dbb846e729dcc59e6165db003da

Aliases

arxiv: 1112.1767 · arxiv_version: 1112.1767v3 · doi: 10.48550/arxiv.1112.1767 · pith_short_12: Z657RMZEJBMZ · pith_short_16: Z657RMZEJBMZNKGA · pith_short_8: Z657RMZE

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/Z657RMZEJBMZNKGAD5ASQG2K3H \
  | 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: cfbbf8b324485996a8c01f41281b4ad9ec0b4dbb846e729dcc59e6165db003da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd7e6c07c47b7edb749b0cee96050c23526af4a4fb80eaabb3da4404d46b255a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2011-12-08T05:50:30Z",
    "title_canon_sha256": "534247d808e9402efdb76a14b839918ed63b4df58b8c59bb84ed6065cb99fac8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1767",
    "kind": "arxiv",
    "version": 3
  }
}