Pith Number

pith:T3LUV6IF

pith:2010:T3LUV6IFLFN5NVDODCGITI5Y4R

not attested not anchored not stored refs pending

Quantum tunneling as a classical anomaly

Carl M. Bender, Daniel W. Hook

arxiv:1011.0121 v2 · 2010-10-31 · hep-th · math-ph · math.MP · 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{T3LUV6IFLFN5NVDODCGITI5Y4R}

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	2026-05-18T02:44:08.758560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed74af905595bd6d46e188c89a3b8e47ffd346f5ba19f69765e4d1b12f8a3a9

Aliases

arxiv: 1011.0121 · arxiv_version: 1011.0121v2 · doi: 10.48550/arxiv.1011.0121 · pith_short_12: T3LUV6IFLFN5 · pith_short_16: T3LUV6IFLFN5NVDO · pith_short_8: T3LUV6IF

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/T3LUV6IFLFN5NVDODCGITI5Y4R \
  | 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: 9ed74af905595bd6d46e188c89a3b8e47ffd346f5ba19f69765e4d1b12f8a3a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da3214cefc67391934cab061a95179b89a7b96d61b8ced59518db7ab3c4b2230",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-10-31T02:49:03Z",
    "title_canon_sha256": "d00486687403eec4dc1d73e3ecd48729ad9e7d345e40ea4a90db3b7a84b44fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0121",
    "kind": "arxiv",
    "version": 2
  }
}