Pith Number

pith:GTMXE4JK

pith:2005:GTMXE4JKMLDLXTU7J4L2NXTPZV

not attested not anchored not stored refs pending

CSL-1: Lensing by a Cosmic String or a Dark Matter Filament?

Malcolm Fairbairn (Stockholm University)

arxiv:astro-ph/0511085 v2 · 2005-11-02 · astro-ph · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTMXE4JKMLDLXTU7J4L2NXTPZV}

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

1 paper in Pith

Detection of cosmic strings by gravitational wave lensing. Predictions for Einstein Telescope

Receipt and verification

First computed	2026-07-04T14:50:56.782175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34d972712a62c6bbce9f4f17a6de6fcd43a39bbe207f7eb1f357fad118d4dc82

Aliases

arxiv: astro-ph/0511085 · arxiv_version: astro-ph/0511085v2 · doi: 10.48550/arxiv.astro-ph/0511085 · pith_short_12: GTMXE4JKMLDL · pith_short_16: GTMXE4JKMLDLXTU7 · pith_short_8: GTMXE4JK

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/GTMXE4JKMLDLXTU7J4L2NXTPZV \
  | 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: 34d972712a62c6bbce9f4f17a6de6fcd43a39bbe207f7eb1f357fad118d4dc82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c36132d94392f0d29e40d67ffc0f34e7332db18246955c7b92087ec9c868e823",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-11-02T20:36:40Z",
    "title_canon_sha256": "a341476308dd0249d7cee87b121040075e3e992b4d2861018248f88dc6b7d4b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0511085",
    "kind": "arxiv",
    "version": 2
  }
}