Pith Number

pith:CKGREEN7

pith:2018:CKGREEN7X2HEOPRBKA3P75GSFI

not attested not anchored not stored refs pending

Exact Shannon entropies for the multidimensional harmonic states

I.V. Toranzo, J.S. Dehesa

arxiv:1811.01775 v1 · 2018-11-05 · 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{CKGREEN7X2HEOPRBKA3P75GSFI}

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	2026-05-17T23:58:01.725504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128d1211bfbe8e473e215036fff4d22a0758bf6192869c4fcd8d95de9c71ee19

Aliases

arxiv: 1811.01775 · arxiv_version: 1811.01775v1 · doi: 10.48550/arxiv.1811.01775 · pith_short_12: CKGREEN7X2HE · pith_short_16: CKGREEN7X2HEOPRB · pith_short_8: CKGREEN7

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/CKGREEN7X2HEOPRBKA3P75GSFI \
  | 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: 128d1211bfbe8e473e215036fff4d22a0758bf6192869c4fcd8d95de9c71ee19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e3aeb54b2c094ced6ee79b5e98479e1348e7db518f3e044908ff7acbf8dfe6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-11-05T15:09:31Z",
    "title_canon_sha256": "99e919495391a3864c2de336aef768bc04b1b990594c443e3de701f903bb1e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01775",
    "kind": "arxiv",
    "version": 1
  }
}