Pith Number

pith:NRWC7KYM

pith:2022:NRWC7KYM2NEJLX2Z4LTTR27PDK

not attested not anchored not stored refs pending

Appearance of an Infalling Star in Black Holes with Multiple Photon Spheres

Guangzhou Guo, Haitang Yang, Houwen Wu, Peng Wang, Yiqian Chen

arxiv:2206.13705 v2 · 2022-06-28 · 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{NRWC7KYM2NEJLX2Z4LTTR27PDK}

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	2026-07-05T04:37:59.742655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c6c2fab0cd34895df59e2e738ebef1aa8cc277a40c5b24c161227b578444466

Aliases

arxiv: 2206.13705 · arxiv_version: 2206.13705v2 · doi: 10.48550/arxiv.2206.13705 · pith_short_12: NRWC7KYM2NEJ · pith_short_16: NRWC7KYM2NEJLX2Z · pith_short_8: NRWC7KYM

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/NRWC7KYM2NEJLX2Z4LTTR27PDK \
  | 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: 6c6c2fab0cd34895df59e2e738ebef1aa8cc277a40c5b24c161227b578444466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cb74b3d536d8ee40cffe953b92dbe700211d79e301bb32c6b81485ba76685af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-06-28T02:34:49Z",
    "title_canon_sha256": "e296f2738490abaf103808070c2127e71ac9a71ab0cb35c1d59b1ebc7cce3d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.13705",
    "kind": "arxiv",
    "version": 2
  }
}