Pith Number

pith:HRHMJ3VU

pith:2016:HRHMJ3VUIMIIPEL6UVC7TAOMIV

not attested not anchored not stored refs pending

Gravitational collapse of massless scalar field in $f(R)$ gravity

Bin Wang, Cheng-Yong Zhang, Zi-Yu Tang

arxiv:1608.04836 v2 · 2016-08-17 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRHMJ3VUIMIIPEL6UVC7TAOMIV}

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	2026-05-18T00:59:19.777727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c4ec4eeb4431087917ea545f981cc4566525716c615e5b7634fa9f41747ede3

Aliases

arxiv: 1608.04836 · arxiv_version: 1608.04836v2 · doi: 10.48550/arxiv.1608.04836 · pith_short_12: HRHMJ3VUIMII · pith_short_16: HRHMJ3VUIMIIPEL6 · pith_short_8: HRHMJ3VU

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/HRHMJ3VUIMIIPEL6UVC7TAOMIV \
  | 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: 3c4ec4eeb4431087917ea545f981cc4566525716c615e5b7634fa9f41747ede3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de0c774168ca462e40373a49fea5656ed02dbfb6e8377f50c4810e62be84c3f3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-08-17T02:25:04Z",
    "title_canon_sha256": "a5f31964c2a097c48ee55b65c3a67195ef584b56efae865ad086aef9777f98b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04836",
    "kind": "arxiv",
    "version": 2
  }
}