Pith Number

pith:2CEAKPNU

pith:2016:2CEAKPNUT3ZUNPTMNSYI7IBSD5

not attested not anchored not stored refs pending

Uniqueness of photon sphere for Einstein-Maxwell-dilaton black holes with arbitrary coupling constant

Marek Rogatko

arxiv:1602.03270 v1 · 2016-02-10 · hep-th · 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{2CEAKPNUT3ZUNPTMNSYI7IBSD5}

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

Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing

Receipt and verification

First computed	2026-05-18T01:19:24.351341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d088053db49ef346be6c6cb08fa0321f4c5511f35e71850b6d8f15a6d8436f17

Aliases

arxiv: 1602.03270 · arxiv_version: 1602.03270v1 · doi: 10.48550/arxiv.1602.03270 · pith_short_12: 2CEAKPNUT3ZU · pith_short_16: 2CEAKPNUT3ZUNPTM · pith_short_8: 2CEAKPNU

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/2CEAKPNUT3ZUNPTMNSYI7IBSD5 \
  | 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: d088053db49ef346be6c6cb08fa0321f4c5511f35e71850b6d8f15a6d8436f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed29d7fd995c3da568abb2de9c2bc9b476a0036c03e09e69c9a6324a2e84bc91",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-02-10T05:23:32Z",
    "title_canon_sha256": "4ee1fbb61102d4a25fe3cb2a342eb80c5e30ac60ca64bad957f488605812a64a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03270",
    "kind": "arxiv",
    "version": 1
  }
}