Pith Number

pith:BWNKLKVA

pith:2011:BWNKLKVAYBRPHWRCGN3ESW22KK

not attested not anchored not stored refs pending

Discrete Quantum Mechanics

Ryu Sasaki, Satoru Odake

arxiv:1104.0473 v2 · 2011-04-04 · math-ph · hep-th · math.CA · math.MP · nlin.SI · 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{BWNKLKVAYBRPHWRCGN3ESW22KK}

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	2026-05-18T04:15:36.734419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d9aa5aaa0c062f3da223376495b5a5292087dad7fd288b244c58571149cddcb

Aliases

arxiv: 1104.0473 · arxiv_version: 1104.0473v2 · doi: 10.48550/arxiv.1104.0473 · pith_short_12: BWNKLKVAYBRP · pith_short_16: BWNKLKVAYBRPHWRC · pith_short_8: BWNKLKVA

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/BWNKLKVAYBRPHWRCGN3ESW22KK \
  | 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: 0d9aa5aaa0c062f3da223376495b5a5292087dad7fd288b244c58571149cddcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "559c60f8e5aace57956d7599a55c28aa1c77ac2bbef0fb167916cc3bbd7f5cf5",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-04T07:02:28Z",
    "title_canon_sha256": "df2ce3ff31d89d5b6a7505c9c704d3833ce4cec77df5665b5b2dd86c215e2fee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0473",
    "kind": "arxiv",
    "version": 2
  }
}