Pith Number

pith:2YFLIBBE

pith:2008:2YFLIBBESYLK7IGYTSV2JLKIWN

not attested not anchored not stored refs pending

Gravitational lensing of stars orbiting the Massive Black Hole in the Galactic Center

Luigi Mancini, Valerio Bozza

arxiv:0812.3853 v1 · 2008-12-19 · astro-ph · 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{2YFLIBBESYLK7IGYTSV2JLKIWN}

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	2026-05-18T04:29:24.337833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d60ab404249616afa0d89caba4ad48b3708ab6d8d8c7f3a0562270dc81253a9f

Aliases

arxiv: 0812.3853 · arxiv_version: 0812.3853v1 · doi: 10.48550/arxiv.0812.3853 · pith_short_12: 2YFLIBBESYLK · pith_short_16: 2YFLIBBESYLK7IGY · pith_short_8: 2YFLIBBE

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/2YFLIBBESYLK7IGYTSV2JLKIWN \
  | 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: d60ab404249616afa0d89caba4ad48b3708ab6d8d8c7f3a0562270dc81253a9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ee821e87afc30430701a7bf7e45d34bff74ebddf72a32a08748b9ffb58c9f7e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-12-19T17:01:24Z",
    "title_canon_sha256": "7e58cb9d86fb8cfd032857e4380c86eb189e9f9fdf1c656c331d52b5fba2846a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3853",
    "kind": "arxiv",
    "version": 1
  }
}