Pith Number

pith:CZUFMYNT

pith:2012:CZUFMYNTF2LYUJHCQM4XMA6537

not attested not anchored not stored refs pending

On Quantum Spacetime and the horizon problem

Gerardo Morsella, Nicola Pinamonti, Sergio Doplicher

arxiv:1201.2519 v3 · 2012-01-12 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZUFMYNTF2LYUJHCQM4XMA6537}

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	2026-05-18T01:58:52.278409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16685661b32e978a24e283397603dddfdcb684e205ec22b1e7cec6a0f51cafd8

Aliases

arxiv: 1201.2519 · arxiv_version: 1201.2519v3 · doi: 10.48550/arxiv.1201.2519 · pith_short_12: CZUFMYNTF2LY · pith_short_16: CZUFMYNTF2LYUJHC · pith_short_8: CZUFMYNT

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/CZUFMYNTF2LYUJHCQM4XMA6537 \
  | 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: 16685661b32e978a24e283397603dddfdcb684e205ec22b1e7cec6a0f51cafd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "248726204ffb38fff3e46da7da6ee0d9034edc890ca08a6eada316278ca08b74",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-01-12T10:31:27Z",
    "title_canon_sha256": "397400482e5572b8b6346f34ece24bc0ba254c855e049db5abc6c29914e4ce5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2519",
    "kind": "arxiv",
    "version": 3
  }
}