Pith Number

pith:TFKD5EMA

pith:2021:TFKD5EMA5KACWOG24GW6H2L365

not attested not anchored not stored refs pending

Deflection angle with electromagnetic interaction and gravitational-electromagnetic dual lensing

Junji Jia, Tingyuan Jiang, Xiaoge Xu

arxiv:2105.12413 v2 · 2021-05-26 · 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{TFKD5EMA5KACWOG24GW6H2L365}

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	2026-07-05T03:08:30.880916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99543e9180ea802b38dae1ade3e97bf76326c64e5b17ca02f9a3d85c21072d72

Aliases

arxiv: 2105.12413 · arxiv_version: 2105.12413v2 · doi: 10.48550/arxiv.2105.12413 · pith_short_12: TFKD5EMA5KAC · pith_short_16: TFKD5EMA5KACWOG2 · pith_short_8: TFKD5EMA

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/TFKD5EMA5KACWOG24GW6H2L365 \
  | 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: 99543e9180ea802b38dae1ade3e97bf76326c64e5b17ca02f9a3d85c21072d72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb2ab2e235f4f85520eb70b480ba56a79b5e3e236f3d3df17c9bb2f7f76a1f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-05-26T09:07:43Z",
    "title_canon_sha256": "fd62f0a2e85d8f90cec0739227e4dcb8fde88236ffa202419e10b08f4b416d08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.12413",
    "kind": "arxiv",
    "version": 2
  }
}