Pith Number

pith:5LBYPLT5

pith:2011:5LBYPLT5ISVOWELQKDHCQKPTC6

not attested not anchored not stored refs pending

Relationship between High-Energy Absorption Cross Section and Strong Gravitational Lensing for Black Hole

Heng Guo, Shao-Wen Wei, Yu-Xiao Liu

arxiv:1103.3822 v3 · 2011-03-20 · hep-th · 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{5LBYPLT5ISVOWELQKDHCQKPTC6}

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

Constraining Black Hole Parameters in Non-Commutative Geometry using Machine Learning

On Computational CUDA Studies of Black Hole Shadows

Receipt and verification

First computed	2026-05-18T04:15:35.960430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac387ae7d44aaeb117050ce2829f317bce1af37ecebb02264c6d7891655f232

Aliases

arxiv: 1103.3822 · arxiv_version: 1103.3822v3 · doi: 10.48550/arxiv.1103.3822 · pith_short_12: 5LBYPLT5ISVO · pith_short_16: 5LBYPLT5ISVOWELQ · pith_short_8: 5LBYPLT5

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/5LBYPLT5ISVOWELQKDHCQKPTC6 \
  | 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: eac387ae7d44aaeb117050ce2829f317bce1af37ecebb02264c6d7891655f232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06e4d93a9865e3039be85d830b0cf242e2ecdaa8da27c81974913d514a262e5d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-03-20T01:39:22Z",
    "title_canon_sha256": "10465414b7901752d4d4156163bf199c7e0ad34707d1e9c6273e070b57de48a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3822",
    "kind": "arxiv",
    "version": 3
  }
}