Pith Number

pith:HMWUNOCO

pith:2015:HMWUNOCOKFL5JXF32MGLVRBXRD

not attested not anchored not stored refs pending

Algorithms And Programs For Strong Gravitational Lensing In Kerr Space-time Including Polarization

Bin Chen, Eddie Baron, Prasad Maddumage, Ronald Kantowski, Xinyu Dai

arxiv:1505.02714 v1 · 2015-05-11 · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMWUNOCOKFL5JXF32MGLVRBXRD}

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	2026-05-18T02:16:11.797387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b2d46b84e5157d4dcbbd30cbac43788f0dc6cdf74e94212294ad9a0de61716e

Aliases

arxiv: 1505.02714 · arxiv_version: 1505.02714v1 · doi: 10.48550/arxiv.1505.02714 · pith_short_12: HMWUNOCOKFL5 · pith_short_16: HMWUNOCOKFL5JXF3 · pith_short_8: HMWUNOCO

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/HMWUNOCOKFL5JXF32MGLVRBXRD \
  | 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: 3b2d46b84e5157d4dcbbd30cbac43788f0dc6cdf74e94212294ad9a0de61716e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12ac4d8b0688c7eb6a818dd16145773f978f6aa0b201163e81d7b10ce62dbb8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2015-05-11T18:00:29Z",
    "title_canon_sha256": "bd1f45bfe3adab4e4bc661a02e44458ebdce822e92079b903d4370146643910f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02714",
    "kind": "arxiv",
    "version": 1
  }
}