Pith Number

pith:LCDKCZY6

pith:2010:LCDKCZY6WU44G4JPU26VGXUXXW

not attested not anchored not stored refs pending

Strong Gravitational Lensing by Sgr A*

Amitai Y. Bin-Nun

arxiv:1011.5848 v1 · 2010-11-26 · gr-qc · astro-ph.HE · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCDKCZY6WU44G4JPU26VGXUXXW}

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	2026-05-18T04:21:29.873924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5886a1671eb539c3712fa6bd535e97bdb3422abe79f6ede818a03967f13427f2

Aliases

arxiv: 1011.5848 · arxiv_version: 1011.5848v1 · doi: 10.48550/arxiv.1011.5848 · pith_short_12: LCDKCZY6WU44 · pith_short_16: LCDKCZY6WU44G4JP · pith_short_8: LCDKCZY6

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/LCDKCZY6WU44G4JPU26VGXUXXW \
  | 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: 5886a1671eb539c3712fa6bd535e97bdb3422abe79f6ede818a03967f13427f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7f63cdbef409acf9223c81fac55985553af241d4d09b68b4c92bd552581997",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-26T17:54:43Z",
    "title_canon_sha256": "16eef094009d13a29f245ff825b01c6d4b725db232bd872ef7345ac9c1d33f0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5848",
    "kind": "arxiv",
    "version": 1
  }
}