Pith Number

pith:O2SQ3DSQ

pith:2020:O2SQ3DSQS4HWAC5ZZMFHLTPRRC

not attested not anchored not stored refs pending

The perturbative approach for the weak deflection angle

Junji Jia

arxiv:2001.02038 v3 · 2020-01-07 · 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{O2SQ3DSQS4HWAC5ZZMFHLTPRRC}

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	2026-07-05T00:56:42.070008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a50d8e50970f600bb9cb0a75cdf188bcfe4488f72fa6aed36176a9f06e6362

Aliases

arxiv: 2001.02038 · arxiv_version: 2001.02038v3 · doi: 10.48550/arxiv.2001.02038 · pith_short_12: O2SQ3DSQS4HW · pith_short_16: O2SQ3DSQS4HWAC5Z · pith_short_8: O2SQ3DSQ

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/O2SQ3DSQS4HWAC5ZZMFHLTPRRC \
  | 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: 76a50d8e50970f600bb9cb0a75cdf188bcfe4488f72fa6aed36176a9f06e6362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c14f67b7a675fb2fa70e7fc477a8bd6db3b3024ab95211913efcfd2270f496c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-01-07T14:08:13Z",
    "title_canon_sha256": "99eb50ef9f6a23ac60d91e6bece4bb46e3baa86d3f952ac1978eee2d6cf0be44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.02038",
    "kind": "arxiv",
    "version": 3
  }
}