Pith Number

pith:JTADZ7RV

pith:2007:JTADZ7RVJOG67MV2ZLA2QNYHBK

not attested not anchored not stored refs pending

Ray optics in the field of non-minimal Dirac monopole

Alexander B. Balakin, Alexei E. Zayats

arxiv:0710.5407 v1 · 2007-10-29 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTADZ7RVJOG67MV2ZLA2QNYHBK}

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	2026-07-04T15:27:54.639687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cc03cfe354b8defb2bacac1a837070a8e09910440f91b13d8140223e5bab492

Aliases

arxiv: 0710.5407 · arxiv_version: 0710.5407v1 · doi: 10.48550/arxiv.0710.5407 · pith_short_12: JTADZ7RVJOG6 · pith_short_16: JTADZ7RVJOG67MV2 · pith_short_8: JTADZ7RV

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/JTADZ7RVJOG67MV2ZLA2QNYHBK \
  | 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: 4cc03cfe354b8defb2bacac1a837070a8e09910440f91b13d8140223e5bab492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae4ab3fda029a114595cc6618ca20321a3c42f31e28b936c7ffd1879a0245d77",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-10-29T12:34:18Z",
    "title_canon_sha256": "8dba36171ac7f8e1e3d34dba3892d37b9befad09db9d3f96bcf2d7a038174591"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5407",
    "kind": "arxiv",
    "version": 1
  }
}