Pith Number

pith:KHUFFGHW

pith:2010:KHUFFGHWYL5K6FQMXR3CLZHZ2U

not attested not anchored not stored refs pending

Gravitational Lensing

Institut fuer Theoretische Astrophysik), Matthias Bartelmann (Zentrum fuer Astronomie der Universitaet Heidelberg

arxiv:1010.3829 v1 · 2010-10-19 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHUFFGHWYL5K6FQMXR3CLZHZ2U}

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.

Cited by

7 papers in Pith

The Treble Clef radio phoenix and its old nonthermal filaments

Constraints on Line-of-Sight Acceleration from O1-O4

Model-Independent Search Discards Faint Lensed-Pairs of Gravitational Wave Events in the Sub-Threshold Candidates of GWTC-4

Revisiting the 'Lensing is Low' Problem with UNIONS

Gravitational lensing time delay beyond the Shapiro/geometry split

Receipt and verification

First computed	2026-05-18T02:05:01.329563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51e85298f6c2faaf160cbc7625e4f9d50a2abfd6a880d9c416972decbca360de

Aliases

arxiv: 1010.3829 · arxiv_version: 1010.3829v1 · doi: 10.48550/arxiv.1010.3829 · pith_short_12: KHUFFGHWYL5K · pith_short_16: KHUFFGHWYL5K6FQM · pith_short_8: KHUFFGHW

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/KHUFFGHWYL5K6FQMXR3CLZHZ2U \
  | 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: 51e85298f6c2faaf160cbc7625e4f9d50a2abfd6a880d9c416972decbca360de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ca6ce596f94e851eec596dfa359c65560b369f00a38f9ace34b24694ab400af",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-10-19T08:58:56Z",
    "title_canon_sha256": "0e4dc22ccd237d0d86840b9ead1290c2cefd332a1116dfcd4a0aa118a53b369a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3829",
    "kind": "arxiv",
    "version": 1
  }
}