Pith Number

pith:AKR4W3NA

pith:2016:AKR4W3NAZDSFSV5UUTMPXVUWQ7

not attested not anchored not stored refs pending

Quantum and random walks as universal generators of probability distributions

Miquel Montero

arxiv:1609.06711 v2 · 2016-09-21 · quant-ph · cond-mat.stat-mech · 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{AKR4W3NAZDSFSV5UUTMPXVUWQ7}

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	2026-05-18T00:42:02.561904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02a3cb6da0c8e45957b4a4d8fbd69687fd3b34c3c1c82927dc93ad0b9215e079

Aliases

arxiv: 1609.06711 · arxiv_version: 1609.06711v2 · doi: 10.48550/arxiv.1609.06711 · pith_short_12: AKR4W3NAZDSF · pith_short_16: AKR4W3NAZDSFSV5U · pith_short_8: AKR4W3NA

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/AKR4W3NAZDSFSV5UUTMPXVUWQ7 \
  | 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: 02a3cb6da0c8e45957b4a4d8fbd69687fd3b34c3c1c82927dc93ad0b9215e079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc5a5a7b964574bbf8a0ffee61003cddb3e69f220f5097ec8cc0f6c998a9df97",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-21T14:45:44Z",
    "title_canon_sha256": "68a58dfaeb589cac02d014b94ce08c9a243cebaaa836e085d8acdf449b883957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06711",
    "kind": "arxiv",
    "version": 2
  }
}