Pith Number

pith:MULELXXP

pith:2016:MULELXXPXARYOSUUJCWNFY45S3

not attested not anchored not stored refs pending

Cosmic Evolution of Long Gamma-Ray Burst Luminosity

Bei-Bei Guo, Can-Min Deng, En-Wei Liang, Jun-Jie Wei, Rui-Jing Lu, Xiang-Gao Wang, Xue-Feng Wu, Yuan-Zhu Wang

arxiv:1601.07645 v1 · 2016-01-28 · 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{MULELXXPXARYOSUUJCWNFY45S3}

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	2026-05-18T01:17:41.875373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651645deefb823874a9448acd2e39d96f8bee5b7786788e38db390670c81c7b0

Aliases

arxiv: 1601.07645 · arxiv_version: 1601.07645v1 · doi: 10.48550/arxiv.1601.07645 · pith_short_12: MULELXXPXARY · pith_short_16: MULELXXPXARYOSUU · pith_short_8: MULELXXP

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/MULELXXPXARYOSUUJCWNFY45S3 \
  | 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: 651645deefb823874a9448acd2e39d96f8bee5b7786788e38db390670c81c7b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1a522eb2c53f2a886910c700d8ed8d1b44c198b77b43776824b5868f038f09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2016-01-28T05:00:38Z",
    "title_canon_sha256": "9da0445df244227dff6cbd37d1cfd7f7d573e1dd414e2c781bee1fe89656b715"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07645",
    "kind": "arxiv",
    "version": 1
  }
}