Pith Number

pith:7E2L2SR5

pith:2021:7E2L2SR5ESVRUMYZYBJ5LDEIMC

not attested not anchored not stored refs pending

Relating Black Hole Shadow to Quasinormal Modes for Rotating Black Holes

Huan Yang

arxiv:2101.11129 v1 · 2021-01-26 · 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{7E2L2SR5ESVRUMYZYBJ5LDEIMC}

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	2026-07-05T02:31:49.988565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f934bd4a3d24ab1a3319c053d58c8860abebe1b7ad7ff5c7549afdadbd6d7f7d

Aliases

arxiv: 2101.11129 · arxiv_version: 2101.11129v1 · doi: 10.48550/arxiv.2101.11129 · pith_short_12: 7E2L2SR5ESVR · pith_short_16: 7E2L2SR5ESVRUMYZ · pith_short_8: 7E2L2SR5

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/7E2L2SR5ESVRUMYZYBJ5LDEIMC \
  | 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: f934bd4a3d24ab1a3319c053d58c8860abebe1b7ad7ff5c7549afdadbd6d7f7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9224a706b95ce6bf6ce8f74290a04016aff30dedb3ad29d30529e90ca361ace8",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-01-26T23:11:57Z",
    "title_canon_sha256": "575e13f7f72ce7c42509df1e0697f6591d0e6983465652bcd7bf8c55959b6cc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.11129",
    "kind": "arxiv",
    "version": 1
  }
}