Pith Number

pith:FFT4UHHK

pith:2018:FFT4UHHKPT6KNJQYB7YHIAS557

not attested not anchored not stored refs pending

Most Lensed Quasars at $z>6$ are Missed by Current Surveys

Abraham Loeb, Fabio Pacucci

arxiv:1810.12302 v2 · 2018-10-29 · astro-ph.GA · astro-ph.CO · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFT4UHHKPT6KNJQYB7YHIAS557}

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	2026-05-17T23:56:52.700142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2967ca1cea7cfca6a6180ff074025defe15e8f2eeade974e7be39e5cdf4fb621

Aliases

arxiv: 1810.12302 · arxiv_version: 1810.12302v2 · doi: 10.48550/arxiv.1810.12302 · pith_short_12: FFT4UHHKPT6K · pith_short_16: FFT4UHHKPT6KNJQY · pith_short_8: FFT4UHHK

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/FFT4UHHKPT6KNJQYB7YHIAS557 \
  | 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: 2967ca1cea7cfca6a6180ff074025defe15e8f2eeade974e7be39e5cdf4fb621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd0d6fd6d8a29ad7843fe925409fd398857f7fb4f7355e7a94169aad281b11b9",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2018-10-29T18:00:01Z",
    "title_canon_sha256": "cf56a7fc5050c6932c6e5e7daedfe7537fd161086b433012dd0de41a660a4f35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12302",
    "kind": "arxiv",
    "version": 2
  }
}