Pith Number

pith:3MHPFI3S

pith:2018:3MHPFI3STABIXLQF6PJSPXXILY

not attested not anchored not stored refs pending

Accurate closed-form trajectories of light around a Kerr black hole using asymptotic approximants

Joshua A. Faber, Morgan Mistysyn, Nathaniel S. Barlow, Ryne J. Beachley, Steven J. Weinstein

arxiv:1807.00055 v2 · 2018-06-29 · 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{3MHPFI3STABIXLQF6PJSPXXILY}

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	2026-05-18T00:04:12.770013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db0ef2a37298028bae05f3d327dee85e253bdfa24a143b46457f195ba6af8c63

Aliases

arxiv: 1807.00055 · arxiv_version: 1807.00055v2 · doi: 10.48550/arxiv.1807.00055 · pith_short_12: 3MHPFI3STABI · pith_short_16: 3MHPFI3STABIXLQF · pith_short_8: 3MHPFI3S

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/3MHPFI3STABIXLQF6PJSPXXILY \
  | 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: db0ef2a37298028bae05f3d327dee85e253bdfa24a143b46457f195ba6af8c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39f9451826fe141a62bdccd14155a86768d729dafa08e74f5239d0700f68e538",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-06-29T20:02:17Z",
    "title_canon_sha256": "454089f2f6863a5948ff519aa7ff96de2918f2ebefbec9cacabace2972ee3f51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00055",
    "kind": "arxiv",
    "version": 2
  }
}