Pith Number

pith:AZP23YOE

pith:2013:AZP23YOEDKT2JBUBG7PIRU3ASU

not attested not anchored not stored refs pending

Ray-tracing in pseudo-complex General Relativity

A. M\"uller, G. Caspar, M. Sch\"afer, P. O. Hess, T. Boller, T. Sch\"onenbach, W. Greiner

arxiv:1312.1170 v2 · 2013-12-04 · astro-ph.GA · 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{AZP23YOEDKT2JBUBG7PIRU3ASU}

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	2026-05-18T02:43:16.404798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

065fade1c41aa7a4868137de88d3609506e40c32f78658ac7b74f4cd73f5b6fc

Aliases

arxiv: 1312.1170 · arxiv_version: 1312.1170v2 · doi: 10.48550/arxiv.1312.1170 · pith_short_12: AZP23YOEDKT2 · pith_short_16: AZP23YOEDKT2JBUB · pith_short_8: AZP23YOE

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/AZP23YOEDKT2JBUBG7PIRU3ASU \
  | 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: 065fade1c41aa7a4868137de88d3609506e40c32f78658ac7b74f4cd73f5b6fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45dc70830d3e91fb9140367d97f4429176a02c8b2c69d1563151753cfdaa8f44",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2013-12-04T14:10:41Z",
    "title_canon_sha256": "95eedfbdf5368c01e11f07ce15e96b3ab4f766d493060bd06f4639bb6afc766d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1170",
    "kind": "arxiv",
    "version": 2
  }
}