Pith Number

pith:UTZYRQES

pith:2025:UTZYRQESGPYGZHE3L4T5AH2AX5

not attested not anchored not stored refs pending

The effectively optically thin accretion flow and its implication in supermassive black holes

B. F. Liu, Huaqing Cheng, Mingjun Liu, Weimin Yuan, Yilong Wang

arxiv:2506.22904 v1 · 2025-06-28 · 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{UTZYRQESGPYGZHE3L4T5AH2AX5}

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	2026-07-05T11:28:47.486594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4f388c09233f06c9c9b5f27d01f40bf7b43edbcf21fb69e5ad84c6039d6d94b

Aliases

arxiv: 2506.22904 · arxiv_version: 2506.22904v1 · doi: 10.48550/arxiv.2506.22904 · pith_short_12: UTZYRQESGPYG · pith_short_16: UTZYRQESGPYGZHE3 · pith_short_8: UTZYRQES

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/UTZYRQESGPYGZHE3L4T5AH2AX5 \
  | 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: a4f388c09233f06c9c9b5f27d01f40bf7b43edbcf21fb69e5ad84c6039d6d94b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65d36cec01e1e58fb380f7cd09c070bb340e9a7d3553ed579bb07fb441bf5be4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2025-06-28T14:41:08Z",
    "title_canon_sha256": "9072c813e6ab7cac956d3bf264212a2121c52a83cb7ce8c0ef1cfe1a11f9f457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22904",
    "kind": "arxiv",
    "version": 1
  }
}