Pith Number

pith:MW6O4XGW

pith:2020:MW6O4XGWPKJVYNEY3BE2C5DTZL

not attested not anchored not stored refs pending

Retrograde Polish Doughnuts around Boson Stars

Jutta Kunz, Lucas G. Collodel, Matheus C. Teodoro

arxiv:2011.10288 v2 · 2020-11-20 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MW6O4XGWPKJVYNEY3BE2C5DTZL}

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

Topological charge and black hole photon spheres in massive gravity

Receipt and verification

First computed	2026-07-05T02:33:06.598397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65bcee5cd67a935c3498d849a17473caea524081ffeee24da04e882f1c7bfa5d

Aliases

arxiv: 2011.10288 · arxiv_version: 2011.10288v2 · doi: 10.48550/arxiv.2011.10288 · pith_short_12: MW6O4XGWPKJV · pith_short_16: MW6O4XGWPKJVYNEY · pith_short_8: MW6O4XGW

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/MW6O4XGWPKJVYNEY3BE2C5DTZL \
  | 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: 65bcee5cd67a935c3498d849a17473caea524081ffeee24da04e882f1c7bfa5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0c4e2f4d22faf6443d2eedee10d48f79aa9c9cae1be8fb65efe9a645a6d5fc9",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-11-20T09:22:12Z",
    "title_canon_sha256": "b64bf6b9951d76dc10a633fe5d4444e0702b2fb51770584b6a22a42bdf073132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.10288",
    "kind": "arxiv",
    "version": 2
  }
}