Pith Number

pith:B5BDDCVF

pith:2013:B5BDDCVFONCCBKQYAZRUH2GHJU

not attested not anchored not stored refs pending

Tunneling in cosine potential with periodic boundary conditions

Zbigniew Ambrozinski

arxiv:1303.0708 v1 · 2013-03-04 · quant-ph · 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{B5BDDCVFONCCBKQYAZRUH2GHJU}

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	2026-05-18T01:51:17.398381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f42318aa5734420aa18066343e8c74d15c94187eafb51a4da82173a41bf0cd2

Aliases

arxiv: 1303.0708 · arxiv_version: 1303.0708v1 · doi: 10.48550/arxiv.1303.0708 · pith_short_12: B5BDDCVFONCC · pith_short_16: B5BDDCVFONCCBKQY · pith_short_8: B5BDDCVF

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/B5BDDCVFONCCBKQYAZRUH2GHJU \
  | 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: 0f42318aa5734420aa18066343e8c74d15c94187eafb51a4da82173a41bf0cd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2cd8ef7ac17f041d2809f76a6305088416aa8f1e543aebb0c1abf1be3ff6d7b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-03-04T14:31:09Z",
    "title_canon_sha256": "3cbb7064018d3500ea10857ecfb2d50b41846a73f2a133661a0e1fcef5ad54ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0708",
    "kind": "arxiv",
    "version": 1
  }
}