Pith Number

pith:NDLWKOOV

pith:2019:NDLWKOOVM3XQUW56EEWV7WQWW7

not attested not anchored not stored refs pending

Black holes with surrounding matter and rainbow scattering

Caio F. B. Macedo, Lu\'is C. B. Crispino, Luiz C. S. Leite

arxiv:1901.07074 v2 · 2019-01-21 · 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{NDLWKOOVM3XQUW56EEWV7WQWW7}

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	2026-05-17T23:50:48.593584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68d76539d566ef0a5bbe212d5fda16b7c135cb3a46f820a5a31bbdae1b1aa39d

Aliases

arxiv: 1901.07074 · arxiv_version: 1901.07074v2 · doi: 10.48550/arxiv.1901.07074 · pith_short_12: NDLWKOOVM3XQ · pith_short_16: NDLWKOOVM3XQUW56 · pith_short_8: NDLWKOOV

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/NDLWKOOVM3XQUW56EEWV7WQWW7 \
  | 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: 68d76539d566ef0a5bbe212d5fda16b7c135cb3a46f820a5a31bbdae1b1aa39d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "732b54b50f958ffadf0411490d06d6ab76765bb49bd6b353f8a2a828b180e958",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-01-21T20:41:27Z",
    "title_canon_sha256": "c01ac99d0b42d8e6f11aaa8ef55659939b76f582a7879e4f5c8bb6706b679e21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07074",
    "kind": "arxiv",
    "version": 2
  }
}