Pith Number

pith:CWR4TJNC

pith:2010:CWR4TJNCWMD32Y6RJQBQLKNLCQ

not attested not anchored not stored refs pending

The Black Hole Membrane Paradigm in f(R) Gravity

Maulik Parikh, Saugata Chatterjee, Sudipta Sarkar

arxiv:1012.6040 v1 · 2010-12-29 · hep-th · 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{CWR4TJNCWMD32Y6RJQBQLKNLCQ}

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	2026-05-18T02:04:16.648065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15a3c9a5a2b307bd63d14c0305a9ab1404a8ed56f949a670e7d2defca5e3ab09

Aliases

arxiv: 1012.6040 · arxiv_version: 1012.6040v1 · doi: 10.48550/arxiv.1012.6040 · pith_short_12: CWR4TJNCWMD3 · pith_short_16: CWR4TJNCWMD32Y6R · pith_short_8: CWR4TJNC

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/CWR4TJNCWMD32Y6RJQBQLKNLCQ \
  | 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: 15a3c9a5a2b307bd63d14c0305a9ab1404a8ed56f949a670e7d2defca5e3ab09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61fc57b5d0a2c781fd4eb08b51046870ff397f2977751bd98b91ff2658a854e2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-29T20:55:04Z",
    "title_canon_sha256": "b9874b0bc26fad479f666760d0acbd73bbff66ae65c949f21f6d4bc3895a47d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.6040",
    "kind": "arxiv",
    "version": 1
  }
}