Pith Number

pith:MVLM2ARO

pith:1994:MVLM2ARO2VMWN44JVHFQUQ3YFZ

not attested not anchored not stored refs pending

Complex-time path-integral formalism for quantum tunneling

Hideaki Aoyama, Toshiyuki Harano

arxiv:hep-th/9412093 v1 · 1994-12-12 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVLM2ARO2VMWN44JVHFQUQ3YFZ}

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	2026-05-18T04:17:35.199807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6556cd022ed55966f389a9cb0a43782e591520d895c96a6a3ed37d49d59b4384

Aliases

arxiv: hep-th/9412093 · arxiv_version: hep-th/9412093v1 · doi: 10.48550/arxiv.hep-th/9412093 · pith_short_12: MVLM2ARO2VMW · pith_short_16: MVLM2ARO2VMWN44J · pith_short_8: MVLM2ARO

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/MVLM2ARO2VMWN44JVHFQUQ3YFZ \
  | 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: 6556cd022ed55966f389a9cb0a43782e591520d895c96a6a3ed37d49d59b4384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "339dfac9cab6aad5b62c4773cfb3175c87c6a9cba1382116be6c7d36d539a1a7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-12-12T07:43:59Z",
    "title_canon_sha256": "971838659b0b47c438c2a9896c1dbf6ff54211d561a1fefa601bd87e95e7534a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9412093",
    "kind": "arxiv",
    "version": 1
  }
}