Pith Number

pith:OPB2MFPX

pith:2021:OPB2MFPXU2BPNA33BGBYQQA5CJ

not attested not anchored not stored refs pending

Gravitational lensing and wormhole shadows

Anna A. Shelkovnikova, Igor D. Novikov, Mikhail A. Bugaev, Serge V. Repin

arxiv:2106.03256 v1 · 2021-06-06 · 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{OPB2MFPXU2BPNA33BGBYQQA5CJ}

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

Ellis-Bronnikov Wormhole Shadows with Spherically Symmetric Accretion Flow

Receipt and verification

First computed	2026-07-05T03:46:20.430328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c3a615f7a682f6837b098388401d1277e50870361bf3f96e99fdecadd825a4

Aliases

arxiv: 2106.03256 · arxiv_version: 2106.03256v1 · doi: 10.48550/arxiv.2106.03256 · pith_short_12: OPB2MFPXU2BP · pith_short_16: OPB2MFPXU2BPNA33 · pith_short_8: OPB2MFPX

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/OPB2MFPXU2BPNA33BGBYQQA5CJ \
  | 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: 73c3a615f7a682f6837b098388401d1277e50870361bf3f96e99fdecadd825a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e77c99b0511e3a1a33055de2e804069d10802fbd51d2c584578c058e5f79b265",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-06-06T21:41:23Z",
    "title_canon_sha256": "734ca52d9b2c921588abf1b04cc355dbc2986e222c48a02345c74de21d3ba4f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.03256",
    "kind": "arxiv",
    "version": 1
  }
}