Pith Number

pith:VAR7Q3TI

pith:2025:VAR7Q3TIDNIT7FB2ZHORBJHLLV

not attested not anchored not stored refs pending

Machine Learning-Based Analytical Expressions for Gray-Body Factors and Application to Primordial Black Holes

Davide Pedrotti (UniTrento), Guan-Wen Yuan (UniTrento), Marco Calz\`a (UniTrento)

arxiv:2504.18270 v3 · 2025-04-25 · astro-ph.CO · astro-ph.GA · astro-ph.HE · 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{VAR7Q3TIDNIT7FB2ZHORBJHLLV}

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	2026-07-05T12:10:57.465185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a823f86e681b513f943ac9dd10a4eb5d5995e558fef366dbc81da22ec28d0865

Aliases

arxiv: 2504.18270 · arxiv_version: 2504.18270v3 · doi: 10.48550/arxiv.2504.18270 · pith_short_12: VAR7Q3TIDNIT · pith_short_16: VAR7Q3TIDNIT7FB2 · pith_short_8: VAR7Q3TI

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/VAR7Q3TIDNIT7FB2ZHORBJHLLV \
  | 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: a823f86e681b513f943ac9dd10a4eb5d5995e558fef366dbc81da22ec28d0865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "949958c8c603a2941d2869668e00f289894f4773127167ed0e1e7fc85bebb580",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.HE",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-04-25T11:28:20Z",
    "title_canon_sha256": "f852cfc00cd58d7460063f8abdd559d43fda64fab027857eb5699fdfbc3b8aed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.18270",
    "kind": "arxiv",
    "version": 3
  }
}