pith. sign in
Pith Number

pith:NCQRJFL5

pith:2016:NCQRJFL5UD4PI4Q26UTGQVSOET
not attested not anchored not stored refs pending

Light rings and light points of boson stars

Philippe Grandcl\'ement (LUTH)

arxiv:1612.07507 v2 · 2016-12-22 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NCQRJFL5UD4PI4Q26UTGQVSOET}

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

2 papers in Pith

Receipt and verification
First computed 2026-05-18T00:46:38.291523Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

68a114957da0f8f4721af52668564e24dc3bc29f500b4c435698ce4dbd2fcfe4

Aliases

arxiv: 1612.07507 · arxiv_version: 1612.07507v2 · doi: 10.48550/arxiv.1612.07507 · pith_short_12: NCQRJFL5UD4P · pith_short_16: NCQRJFL5UD4PI4Q2 · pith_short_8: NCQRJFL5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NCQRJFL5UD4PI4Q26UTGQVSOET \
  | 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: 68a114957da0f8f4721af52668564e24dc3bc29f500b4c435698ce4dbd2fcfe4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c57722e42d4ccecd0fe8f3ccd4c20ffb560d308d5278e0c8a537853388eba696",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-12-22T09:49:51Z",
    "title_canon_sha256": "607c02475b00b8826fe66d5fd1ddb45ddfb0064866f732b69596e0653318f81f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07507",
    "kind": "arxiv",
    "version": 2
  }
}