Pith Number

pith:MEZXZFLZ

pith:2026:MEZXZFLZNCVEF4BNZHLZ3A7WJW

not attested not anchored not stored refs pending

Multiscale probing of a Hernquist-type environmental black hole spacetime with the Sgr A* shadow and S2 orbital dynamics

Lai Zhao, Meirong Tang, Zhaoyi Xu, Zheng-Wen Long

arxiv:2608.07229 v1 · 2026-08-07 · 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{MEZXZFLZNCVEF4BNZHLZ3A7WJW}

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	2026-08-10T01:14:41.752222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61337c957968aa42f02dc9d79d83f64dab2751997fb88c95da07b726ebe6ebed

Aliases

arxiv: 2608.07229 · arxiv_version: 2608.07229v1 · doi: 10.48550/arxiv.2608.07229 · pith_short_12: MEZXZFLZNCVE · pith_short_16: MEZXZFLZNCVEF4BN · pith_short_8: MEZXZFLZ

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/MEZXZFLZNCVEF4BNZHLZ3A7WJW \
  | 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: 61337c957968aa42f02dc9d79d83f64dab2751997fb88c95da07b726ebe6ebed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f21481a97544c5884ae8f7daf83595ab84439831b6b33c331573f50cd2dd9c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-07T13:45:55Z",
    "title_canon_sha256": "a726c2e593cf04fc508b9c479b2ae6b44a68175f72df015a1e3b525aac648106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07229",
    "kind": "arxiv",
    "version": 1
  }
}