Pith Number

pith:CMHZDVP3

pith:2013:CMHZDVP3XMLWZLLEXOISIJT7M7

not attested not anchored not stored refs pending

What is the Schwarzschild radius of a quantum mechanical particle?

R. Casadio

arxiv:1310.5452 v1 · 2013-10-21 · gr-qc · hep-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMHZDVP3XMLWZLLEXOISIJT7M7}

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	2026-05-18T03:09:35.611647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

130f91d5fbbb176cad64bb9124267f67d2ed0362abcfb27298b579c7d7ec06bd

Aliases

arxiv: 1310.5452 · arxiv_version: 1310.5452v1 · doi: 10.48550/arxiv.1310.5452 · pith_short_12: CMHZDVP3XMLW · pith_short_16: CMHZDVP3XMLWZLLE · pith_short_8: CMHZDVP3

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/CMHZDVP3XMLWZLLEXOISIJT7M7 \
  | 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: 130f91d5fbbb176cad64bb9124267f67d2ed0362abcfb27298b579c7d7ec06bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7c0330d8f986fc85f593d294d74673a68303b456c961d190fc490e60d6cb8a6",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-10-21T08:01:17Z",
    "title_canon_sha256": "4dbff5a4f6368893950072b1ef1b647c5cc2f2316d980a51b9d97264f75733d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5452",
    "kind": "arxiv",
    "version": 1
  }
}