Pith Number

pith:PPRCA355

pith:2025:PPRCA355BL33TU6RYBXJ72ZPXC

not attested not anchored not stored refs pending

From Equipartition to Curvature: The Spectral Evolution of 4FGL Blazars

Liang Chen, Minfeng Gu, Muhammad S. Anjum, Shu-Jin Hou, Zhigang Li

arxiv:2507.21647 v2 · 2025-07-29 · astro-ph.HE · astro-ph.GA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPRCA355BL33TU6RYBXJ72ZPXC}

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	2026-07-05T12:04:16.486501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be2206fbd0af7b9d3d1c06e9feb2fb89a6e04d593f1317f94857f9b9bea07f2

Aliases

arxiv: 2507.21647 · arxiv_version: 2507.21647v2 · doi: 10.48550/arxiv.2507.21647 · pith_short_12: PPRCA355BL33 · pith_short_16: PPRCA355BL33TU6R · pith_short_8: PPRCA355

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/PPRCA355BL33TU6RYBXJ72ZPXC \
  | 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: 7be2206fbd0af7b9d3d1c06e9feb2fb89a6e04d593f1317f94857f9b9bea07f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c4bdbb62e02230f7954736e272579f020559f42ff0094f46a52b7d8f40eba1",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2025-07-29T10:04:50Z",
    "title_canon_sha256": "ce295ee188afd32d7de5d48f975180924a3944ad9a4e651b923eced65e052d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21647",
    "kind": "arxiv",
    "version": 2
  }
}