Pith Number

pith:NOT5ZN5J

pith:2021:NOT5ZN5JRIE2C2BHI5I5LGWMBH

not attested not anchored not stored refs pending

The Heisenberg limit at cosmological scales

Alessandro D.A.M. Spallicci, Micol Benetti, Salvatore Capozziello

arxiv:2112.07359 v1 · 2021-12-11 · physics.gen-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{NOT5ZN5JRIE2C2BHI5I5LGWMBH}

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	2026-07-05T03:52:34.097854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ba7dcb7a98a09a168274751d59acc09c4751919dfb2913ed4e220eec0a26806

Aliases

arxiv: 2112.07359 · arxiv_version: 2112.07359v1 · doi: 10.48550/arxiv.2112.07359 · pith_short_12: NOT5ZN5JRIE2 · pith_short_16: NOT5ZN5JRIE2C2BH · pith_short_8: NOT5ZN5J

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/NOT5ZN5JRIE2C2BHI5I5LGWMBH \
  | 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: 6ba7dcb7a98a09a168274751d59acc09c4751919dfb2913ed4e220eec0a26806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a3669c38998bc1d6794125b7b042bc140f8645918c13ff025d6f49746cc6a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2021-12-11T22:56:49Z",
    "title_canon_sha256": "a508ee798c2db478c6fc87594c7feb4a2664371f6a688408b54f5a7a63c64a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.07359",
    "kind": "arxiv",
    "version": 1
  }
}