Pith Number

pith:4IWZQ3VH

pith:2020:4IWZQ3VHIV35QIEBA4APER2IBS

not attested not anchored not stored refs pending

Image of a regular phantom compact object and its luminosity under spherical accretions

Jiliang Jing, Songbai Chen, Xin Qin

arxiv:2011.04310 v2 · 2020-11-09 · 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{4IWZQ3VHIV35QIEBA4APER2IBS}

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

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres

Receipt and verification

First computed	2026-07-05T02:38:16.078939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22d986ea74577d820810700f247480c8ecce4d1c81a18afa4b25dc20357e878

Aliases

arxiv: 2011.04310 · arxiv_version: 2011.04310v2 · doi: 10.48550/arxiv.2011.04310 · pith_short_12: 4IWZQ3VHIV35 · pith_short_16: 4IWZQ3VHIV35QIEB · pith_short_8: 4IWZQ3VH

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/4IWZQ3VHIV35QIEBA4APER2IBS \
  | 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: e22d986ea74577d820810700f247480c8ecce4d1c81a18afa4b25dc20357e878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff71a273bb216d1f203b1323431b1e718db613407f854a3195c0d6c639cce3c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-11-09T10:33:12Z",
    "title_canon_sha256": "4ae939690cfcaa77034aaccf8a9bd643254bf7cb9d20cd623f79f2677fdc3a1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.04310",
    "kind": "arxiv",
    "version": 2
  }
}