Pith Number

pith:JKPJFLMR

pith:2006:JKPJFLMRTIIOW2RJ7Z6X4X2ZJ3

not attested not anchored not stored refs pending

Kerr-Sen dilaton-axion black hole lensing in the strong deflection limit

Galin N. Gyulchev, Stoytcho S. Yazadjiev

arxiv:gr-qc/0611110 v4 · 2006-11-21 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JKPJFLMRTIIOW2RJ7Z6X4X2ZJ3}

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	2026-07-04T15:25:05.328486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a9e92ad919a10eb6a29fe7d7e5f594ef55ce09d85e709849d765cd08d175df8

Aliases

arxiv: gr-qc/0611110 · arxiv_version: gr-qc/0611110v4 · doi: 10.48550/arxiv.gr-qc/0611110 · pith_short_12: JKPJFLMRTIIO · pith_short_16: JKPJFLMRTIIOW2RJ · pith_short_8: JKPJFLMR

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/JKPJFLMRTIIOW2RJ7Z6X4X2ZJ3 \
  | 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: 4a9e92ad919a10eb6a29fe7d7e5f594ef55ce09d85e709849d765cd08d175df8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8ee549d0c829647114761df0b2477f72571ccf7ffb4bdd3b806056fc264e9a6",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-11-21T13:29:12Z",
    "title_canon_sha256": "b795a9481940f60af5dcf8ed0306cb872781367b235e1a44a3cd14a23968409d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0611110",
    "kind": "arxiv",
    "version": 4
  }
}