Pith Number

pith:XVQ7KZDV

pith:2016:XVQ7KZDV5PKA3C3Y7NH55LTRAP

not attested not anchored not stored refs pending

Ray-tracing and polarized radiative transfer in General Relativity

Antti Rantala, Pauli Pihajoki, Peter H. Johansson

arxiv:1612.02828 v1 · 2016-12-08 · astro-ph.IM · astro-ph.HE · 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{XVQ7KZDV5PKA3C3Y7NH55LTRAP}

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

1 paper in Pith

On the spin dependence of the emergent gravity phenomena as observed in axially symmetric black hole accretion with spatially varying adiabatic index

Receipt and verification

First computed	2026-05-18T00:41:25.551588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd61f56475ebd40d8b78fb4fdeae7103c7774967cf4f85e085e5a3bc9b604a49

Aliases

arxiv: 1612.02828 · arxiv_version: 1612.02828v1 · doi: 10.48550/arxiv.1612.02828 · pith_short_12: XVQ7KZDV5PKA · pith_short_16: XVQ7KZDV5PKA3C3Y · pith_short_8: XVQ7KZDV

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/XVQ7KZDV5PKA3C3Y7NH55LTRAP \
  | 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: bd61f56475ebd40d8b78fb4fdeae7103c7774967cf4f85e085e5a3bc9b604a49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3503cf4f8e515550707f0de163bc17b3b6f3f77017bb669fe58a7b69a3c9cbfd",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2016-12-08T21:00:06Z",
    "title_canon_sha256": "82b32554d59be34a77b7739ec27dca0ccdcc666c98c01664205e973010a3cff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02828",
    "kind": "arxiv",
    "version": 1
  }
}