Pith Number

pith:MOBIRRLU

pith:2016:MOBIRRLUS2ELQY2EHS3WQTZG3H

not attested not anchored not stored refs pending

Lorentz factor - Beaming Corrected Energy/Luminosity Correlations and GRB Central Engine Models

Bing Zhang, En-Wei Liang, Shuang-Xi Yi, Wei-Hua Lei, Xue-Feng Wu, Zi-Gao Dai

arxiv:1612.06586 v1 · 2016-12-20 · 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{MOBIRRLUS2ELQY2EHS3WQTZG3H}

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	2026-05-18T00:54:25.326192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

638288c5749688b863443cb7684f26d9da79b7d996de0c5d3d6330250e6670f4

Aliases

arxiv: 1612.06586 · arxiv_version: 1612.06586v1 · doi: 10.48550/arxiv.1612.06586 · pith_short_12: MOBIRRLUS2EL · pith_short_16: MOBIRRLUS2ELQY2E · pith_short_8: MOBIRRLU

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/MOBIRRLUS2ELQY2EHS3WQTZG3H \
  | 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: 638288c5749688b863443cb7684f26d9da79b7d996de0c5d3d6330250e6670f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "351b2a51337b696183c74939a982928bd5bc5f314ad2b83de8f0fcb52383851d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2016-12-20T10:18:30Z",
    "title_canon_sha256": "e992df71975538caa0c45efe3f8875d1c93b90e52ff1dd8468c086c74dcccf9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06586",
    "kind": "arxiv",
    "version": 1
  }
}