Pith Number

pith:NE4GTPUY

pith:2019:NE4GTPUY7FPZLYMM2R32QDYAF6

not attested not anchored not stored refs pending

The Luminosity Function and Formation Rate of A Complete Sample of Long Gamma-Ray Bursts

Guang-Xuan Lan, Hou-Dun Zeng, Jun-Jie Wei, Xue-Feng Wu

arxiv:1907.08342 v1 · 2019-07-19 · 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{NE4GTPUY7FPZLYMM2R32QDYAF6}

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	2026-07-04T23:50:21.404744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

693869be98f95f95e18cd477a80f002fb5417dcc4d582cdf5afe6b55cb4badbf

Aliases

arxiv: 1907.08342 · arxiv_version: 1907.08342v1 · doi: 10.48550/arxiv.1907.08342 · pith_short_12: NE4GTPUY7FPZ · pith_short_16: NE4GTPUY7FPZLYMM · pith_short_8: NE4GTPUY

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/NE4GTPUY7FPZLYMM2R32QDYAF6 \
  | 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: 693869be98f95f95e18cd477a80f002fb5417dcc4d582cdf5afe6b55cb4badbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c057740fd70761435fc9ad66bed6da3986857bb08238f8ec61e51c891f89ab59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2019-07-19T02:04:48Z",
    "title_canon_sha256": "0847b26bdad0c751a712f5fc74628c510c7a807cf4b031079f1705f737ac6544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08342",
    "kind": "arxiv",
    "version": 1
  }
}