Pith Number

pith:4AG27GQU

pith:2014:4AG27GQUVJDO65VPIMAAPVXD7E

not attested not anchored not stored refs pending

Uniqueness of photon spheres in static vacuum asymptotically flat spacetimes

Carla Cederbaum

arxiv:1406.5475 v2 · 2014-06-20 · math.DG · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AG27GQUVJDO65VPIMAAPVXD7E}

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	2026-05-18T02:43:34.861389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e00daf9a14aa46ef76af430007d6e3f90336f599bafbf1b2abe16f0ee2ad3792

Aliases

arxiv: 1406.5475 · arxiv_version: 1406.5475v2 · doi: 10.48550/arxiv.1406.5475 · pith_short_12: 4AG27GQUVJDO · pith_short_16: 4AG27GQUVJDO65VP · pith_short_8: 4AG27GQU

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/4AG27GQUVJDO65VPIMAAPVXD7E \
  | 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: e00daf9a14aa46ef76af430007d6e3f90336f599bafbf1b2abe16f0ee2ad3792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48a2bc35e08f2ff57c0443e5e613a0cfca9868792c1656eaf0d23e3ce7c97689",
    "cross_cats_sorted": [
      "gr-qc",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-06-20T18:25:17Z",
    "title_canon_sha256": "0f2d0d8e657901b6a117f7da71ad3a1c45671a14d1cb3d4a514c65719abe0413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5475",
    "kind": "arxiv",
    "version": 2
  }
}