Pith Number

pith:GNJOYALQ

pith:2025:GNJOYALQDZEMTQXKGMSOTRP54N

not attested not anchored not stored refs pending

The Event Rate and Luminosity Function of Fermi/GBM Gamma-Ray Bursts

Long-Biao Li, Xiao-Fei Dong, Xiu-Yun Du, Yang Liu, Zhi-Bin Zhang

arxiv:2507.16595 v1 · 2025-07-22 · 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{GNJOYALQDZEMTQXKGMSOTRP54N}

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	2026-07-05T11:41:27.467473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3352ec01701e48c9c2ea3324e9c5fde36f535eda0ba02da0e3a5e9d99d2130d2

Aliases

arxiv: 2507.16595 · arxiv_version: 2507.16595v1 · doi: 10.48550/arxiv.2507.16595 · pith_short_12: GNJOYALQDZEM · pith_short_16: GNJOYALQDZEMTQXK · pith_short_8: GNJOYALQ

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/GNJOYALQDZEMTQXKGMSOTRP54N \
  | 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: 3352ec01701e48c9c2ea3324e9c5fde36f535eda0ba02da0e3a5e9d99d2130d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0e2cdbf2db9998705f1bb704366a551458636a7457d515b30e01e86c63422c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2025-07-22T13:52:58Z",
    "title_canon_sha256": "05e50485146af30cbc133f7175dec684a65a4ad2bb72b7aa467339a084291bcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16595",
    "kind": "arxiv",
    "version": 1
  }
}