Pith Number

pith:D5A3GVWX

pith:2021:D5A3GVWXDG4A7EZ65ATZEFN7JT

not attested not anchored not stored refs pending

Lorentzian path integral for quantum tunneling and WKB approximation for wave-function

Hiroki Matsui

arxiv:2102.09767 v4 · 2021-02-19 · gr-qc · hep-th · 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{D5A3GVWXDG4A7EZ65ATZEFN7JT}

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

1 paper in Pith

Path integral analysis of Schr\"odinger-type eigenvalue problems in the complex plane: Establishing the relation between instantons and resonant states

Receipt and verification

First computed	2026-07-05T04:22:15.277932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f41b356d719b80f933ee8279215bf4cf638493e218bf58514dd717d98b9bc76

Aliases

arxiv: 2102.09767 · arxiv_version: 2102.09767v4 · doi: 10.48550/arxiv.2102.09767 · pith_short_12: D5A3GVWXDG4A · pith_short_16: D5A3GVWXDG4A7EZ6 · pith_short_8: D5A3GVWX

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/D5A3GVWXDG4A7EZ65ATZEFN7JT \
  | 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: 1f41b356d719b80f933ee8279215bf4cf638493e218bf58514dd717d98b9bc76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ff3f160fcc32e2fdd08ea532da5ab200c50b77a91bff1c45cc8a9c3d858004a",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-02-19T07:00:01Z",
    "title_canon_sha256": "1406d003a03d5c4232799a65f47fa159e102690879de1d78525615f449aeacb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09767",
    "kind": "arxiv",
    "version": 4
  }
}