Pith Number

pith:W3V37L3J

pith:2014:W3V37L3JX4VVPD7EEOGBKPI6K3

not attested not anchored not stored refs pending

Real-time Feynman path integral with Picard--Lefschetz theory and its applications to quantum tunneling

Takayuki Koike, Yuya Tanizaki

arxiv:1406.2386 v3 · 2014-06-09 · math-ph · hep-lat · hep-th · 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{W3V37L3JX4VVPD7EEOGBKPI6K3}

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.

Cited by

4 papers in Pith

The Double Well Done Doubly-Well

CP conservation in the strong interactions

Resolving Degeneracies in Complex $\mathbb{R}\times S^3$ and $\theta$-KSW

Beyond the Dilute Instanton Gas: Resurgence with Exact Saddles in the Double Well

Receipt and verification

First computed	2026-05-18T02:41:41.368849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ebbfaf69bf2b578fe4238c153d1e56f9017e9e98e1c444d97afba3af5d244f

Aliases

arxiv: 1406.2386 · arxiv_version: 1406.2386v3 · doi: 10.48550/arxiv.1406.2386 · pith_short_12: W3V37L3JX4VV · pith_short_16: W3V37L3JX4VVPD7E · pith_short_8: W3V37L3J

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/W3V37L3JX4VVPD7EEOGBKPI6K3 \
  | 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: b6ebbfaf69bf2b578fe4238c153d1e56f9017e9e98e1c444d97afba3af5d244f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c7503c319b0cde0d817246ca13bb467400bfa07ace4448492782d9f8c9a138c",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-06-09T23:26:54Z",
    "title_canon_sha256": "431bab83db8b9433483b0ac0b0d93476c6f930ed8212b586aee6a635efd71a20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2386",
    "kind": "arxiv",
    "version": 3
  }
}