Pith Number

pith:UP4KKHI2

pith:1996:UP4KKHI26IOA4UPCLHWAB45Q2Q

not attested not anchored not stored refs pending

Quantum Tunneling of Spin Particles in Periodic Potentials with Asymmetric Twin Barriers

F.-C. Pu, F. Zimmerschied, H.J.W. Mueller-Kirsten, Jian-Ge Zhou, J.-Q. Liang

arxiv:hep-th/9612106 v1 · 1996-12-10 · hep-th · cond-mat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UP4KKHI26IOA4UPCLHWAB45Q2Q}

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	2026-05-18T02:36:02.732122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f8a51d1af21c0e51e259ec00f3b0d40b63d30331def9e978308093082372cd

Aliases

arxiv: hep-th/9612106 · arxiv_version: hep-th/9612106v1 · doi: 10.48550/arxiv.hep-th/9612106 · pith_short_12: UP4KKHI26IOA · pith_short_16: UP4KKHI26IOA4UPC · pith_short_8: UP4KKHI2

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/UP4KKHI26IOA4UPCLHWAB45Q2Q \
  | 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: a3f8a51d1af21c0e51e259ec00f3b0d40b63d30331def9e978308093082372cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0b3bf5ddbb374ee2b6e0edc40f567ebbb40d30f25aa4425b9e490e3492c98c",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-12-10T15:40:01Z",
    "title_canon_sha256": "b7609922e672a5a849f0e01e88cd21de9f75e99b982adeb03f3ee4e34454de0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9612106",
    "kind": "arxiv",
    "version": 1
  }
}