Pith Number

pith:TN76IPKU

pith:2005:TN76IPKUKNCCIVE5OEKY3N6CFZ

not attested not anchored not stored refs pending

Weak lensing in the second post-Newtonian approximation: Gravitomagnetic potentials and the integrated Sachs-Wolfe effect

Bjoern Malte Schaefer (MPA), Matthias Bartelmann (ITA)

arxiv:astro-ph/0502208 v1 · 2005-02-10 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TN76IPKUKNCCIVE5OEKY3N6CFZ}

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

2 papers in Pith

Hadronic lensing

Receipt and verification

First computed	2026-05-18T03:31:43.388056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7fe43d54534424549d71158db7c22e570319379a06205448e76735e912ac63

Aliases

arxiv: astro-ph/0502208 · arxiv_version: astro-ph/0502208v1 · doi: 10.48550/arxiv.astro-ph/0502208 · pith_short_12: TN76IPKUKNCC · pith_short_16: TN76IPKUKNCCIVE5 · pith_short_8: TN76IPKU

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/TN76IPKUKNCCIVE5OEKY3N6CFZ \
  | 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: 9b7fe43d54534424549d71158db7c22e570319379a06205448e76735e912ac63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c7f511b9ebdaf3d329c4dc53b0bdf7e6250cd61a30c72d4ae23f9d2f2fcf8b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-02-10T13:37:05Z",
    "title_canon_sha256": "8ea58e9c91094b2f761c550bc51f61c6ef1c473882b901470b1f477721928235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0502208",
    "kind": "arxiv",
    "version": 1
  }
}