Pith Number

pith:GXQHXS37

pith:2015:GXQHXS37ESVXAIPKNT3WUAYK32

not attested not anchored not stored refs pending

Gravitational Lensing by Spinning Black Holes in Astrophysics, and in the Movie Interstellar

Eugenie von Tunzelmann, Kip S. Thorne, Oliver James, Paul Franklin

arxiv:1502.03808 v2 · 2015-02-12 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXQHXS37ESVXAIPKNT3WUAYK32}

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

Reshaping the inner shadow of a Kerr black hole by a torn accretion disk

Receipt and verification

First computed	2026-05-18T02:27:00.401784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35e07bcb7f24ab7021ea6cf76a030ade8d461fc352db06173d8b1ce1f1aa8971

Aliases

arxiv: 1502.03808 · arxiv_version: 1502.03808v2 · doi: 10.48550/arxiv.1502.03808 · pith_short_12: GXQHXS37ESVX · pith_short_16: GXQHXS37ESVXAIPK · pith_short_8: GXQHXS37

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/GXQHXS37ESVXAIPKNT3WUAYK32 \
  | 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: 35e07bcb7f24ab7021ea6cf76a030ade8d461fc352db06173d8b1ce1f1aa8971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0eb8f61bf8cfa7db3ffe2b5f9fab709a72128e96e168c1005e1df31453f21e8",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-02-12T20:56:05Z",
    "title_canon_sha256": "53414f866d6cd81afb64f1825c25f77477840c0adbc1a63d153e7ad14c007b54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03808",
    "kind": "arxiv",
    "version": 2
  }
}