Pith Number

pith:NRYWB7Y4

pith:2015:NRYWB7Y4K4IIEU5YFAUZWIL4YZ

not attested not anchored not stored refs pending

Quantum hoop conjecture and a natural cutoff for vacuum energy of a scalar field

Rong-Jia Yang

arxiv:1512.02421 v2 · 2015-12-08 · gr-qc · astro-ph.CO · 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{NRYWB7Y4K4IIEU5YFAUZWIL4YZ}

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	2026-05-18T01:19:15.820728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c7160ff1c57108253b828299b217cc67879a71ab881ed0c952ad02483f4511f

Aliases

arxiv: 1512.02421 · arxiv_version: 1512.02421v2 · doi: 10.48550/arxiv.1512.02421 · pith_short_12: NRYWB7Y4K4II · pith_short_16: NRYWB7Y4K4IIEU5Y · pith_short_8: NRYWB7Y4

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/NRYWB7Y4K4IIEU5YFAUZWIL4YZ \
  | 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: 6c7160ff1c57108253b828299b217cc67879a71ab881ed0c952ad02483f4511f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f33b6f15629789b1d29aa943c91419e668eb896a30a26cd2bd6369801781c98b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-08T12:13:18Z",
    "title_canon_sha256": "f18fd374fcf9d62c7debce5504b9fc24da2b3ea18c61ef6929277d49ebef27f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02421",
    "kind": "arxiv",
    "version": 2
  }
}