Pith Number

pith:35HUDXVX

pith:2010:35HUDXVXQ46ZMGWP4A2CZ25BJ5

not attested not anchored not stored refs pending

The Cardy-Verlinde equation in a spherical symmetric gravitational collapse

Cosimo Stornaiolo, Giuseppe Maiella

arxiv:1007.4142 v1 · 2010-07-23 · 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{35HUDXVXQ46ZMGWP4A2CZ25BJ5}

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	2026-05-18T04:34:09.240784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df4f41deb7873d961acfe0342ceba14f72481e2b43583e582fdda966ca26a4bd

Aliases

arxiv: 1007.4142 · arxiv_version: 1007.4142v1 · doi: 10.48550/arxiv.1007.4142 · pith_short_12: 35HUDXVXQ46Z · pith_short_16: 35HUDXVXQ46ZMGWP · pith_short_8: 35HUDXVX

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/35HUDXVXQ46ZMGWP4A2CZ25BJ5 \
  | 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: df4f41deb7873d961acfe0342ceba14f72481e2b43583e582fdda966ca26a4bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9b254064c95dddbdc566954caa4651bb5828899920313bde5906fc9f9ecd2ab",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-07-23T14:39:31Z",
    "title_canon_sha256": "169717cadec3fc20fa7e1ee6a45925b5450cc1011f22b985c342410df44a7875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4142",
    "kind": "arxiv",
    "version": 1
  }
}