Pith Number

pith:NPAMQYFX

pith:2016:NPAMQYFXLZDDGWHL536JMZX5EL

not attested not anchored not stored refs pending

Spherically symmetric collapse of a perfect fluid in f(R) gravity

Narayan Banerjee, Soumya Chakrabarti

arxiv:1603.08629 v1 · 2016-03-29 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPAMQYFXLZDDGWHL536JMZX5EL}

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	2026-05-18T01:18:05.807561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bc0c860b75e463358ebeefc9666fd22fffc1e7fbc03bb9e7764134864f8e54d

Aliases

arxiv: 1603.08629 · arxiv_version: 1603.08629v1 · doi: 10.48550/arxiv.1603.08629 · pith_short_12: NPAMQYFXLZDD · pith_short_16: NPAMQYFXLZDDGWHL · pith_short_8: NPAMQYFX

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/NPAMQYFXLZDDGWHL536JMZX5EL \
  | 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: 6bc0c860b75e463358ebeefc9666fd22fffc1e7fbc03bb9e7764134864f8e54d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5de02b9708a9b0b373a079e52dbe40d0deccfa7a1ab0433f4d3154bee98c0ea4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-29T03:53:33Z",
    "title_canon_sha256": "e3fe51a61c1fb777c7cb3efba9f59740b046e2c365e85f71ed4b96b7281b8faa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08629",
    "kind": "arxiv",
    "version": 1
  }
}