Pith Number

pith:TW3SGXB5

pith:2017:TW3SGXB5I5LMR6THCADDBPFXMI

not attested not anchored not stored refs pending

An asymptotically consistent approximant for the equatorial bending angle of light due to Kerr black holes

Joshua A. Faber, Nathaniel S. Barlow, Steven J. Weinstein

arxiv:1701.05828 v2 · 2017-01-20 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TW3SGXB5I5LMR6THCADDBPFXMI}

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	2026-05-18T00:41:20.841638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9db7235c3d4756c8fa67100630bcb762182ddaf4500081dc2d04c150648ee495

Aliases

arxiv: 1701.05828 · arxiv_version: 1701.05828v2 · doi: 10.48550/arxiv.1701.05828 · pith_short_12: TW3SGXB5I5LM · pith_short_16: TW3SGXB5I5LMR6TH · pith_short_8: TW3SGXB5

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/TW3SGXB5I5LMR6THCADDBPFXMI \
  | 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: 9db7235c3d4756c8fa67100630bcb762182ddaf4500081dc2d04c150648ee495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c31a354336021f16a7596560a31b7df57a90888c5dcc392f3ab9338333c1698",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-01-20T15:35:55Z",
    "title_canon_sha256": "b5f0f27a6d57388c8049f51bacd9d3cfbc9a21f87ed44f9f0d000669ab379196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05828",
    "kind": "arxiv",
    "version": 2
  }
}