Pith Number

pith:I222WVRW

pith:2013:I222WVRWSPVC7EK2UNTROC4YGQ

not attested not anchored not stored refs pending

WKB Approximation to the Power Wall

F. D. Mera, J. D. Bouas, K. Thapa, S. A. Fulling

arxiv:1301.1066 v2 · 2013-01-06 · 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{I222WVRWSPVC7EK2UNTROC4YGQ}

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	2026-05-18T03:21:54.747326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b5ab563693ea2f915aa367170b98340a784375221d3e680d12daf3973374e5

Aliases

arxiv: 1301.1066 · arxiv_version: 1301.1066v2 · doi: 10.48550/arxiv.1301.1066 · pith_short_12: I222WVRWSPVC · pith_short_16: I222WVRWSPVC7EK2 · pith_short_8: I222WVRW

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/I222WVRWSPVC7EK2UNTROC4YGQ \
  | 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: 46b5ab563693ea2f915aa367170b98340a784375221d3e680d12daf3973374e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c45c4ed5cc4ec497cf2efbe767e09fc7f27d2069a849963a6e178d536c3127",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-06T22:16:09Z",
    "title_canon_sha256": "a4c73648ef8959a64d8d4f376ceb3fda2fe27cd9c9750eb964eb575f6941ca74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1066",
    "kind": "arxiv",
    "version": 2
  }
}