Pith Number

pith:KPUA5NMA

pith:2025:KPUA5NMALLAJKJM4VCLL66D63H

not attested not anchored not stored refs pending

Schr\"odinger equation with Pauli-Fierz Hamiltonian and double well potential as model of vibrationally enhanced tunneling for proton transfer in hydrogen bond

A.E. Sitnitsky

arxiv:2506.07733 v1 · 2025-06-09 · physics.chem-ph · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPUA5NMALLAJKJM4VCLL66D63H}

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	2026-07-05T11:39:12.020680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53e80eb5805ac095259ca896bf787ed9effdd78c9a4dbac12e0a57fca22916df

Aliases

arxiv: 2506.07733 · arxiv_version: 2506.07733v1 · doi: 10.48550/arxiv.2506.07733 · pith_short_12: KPUA5NMALLAJ · pith_short_16: KPUA5NMALLAJKJM4 · pith_short_8: KPUA5NMA

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/KPUA5NMALLAJKJM4VCLL66D63H \
  | 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: 53e80eb5805ac095259ca896bf787ed9effdd78c9a4dbac12e0a57fca22916df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "650bf41c7c0321222e105b5a9ccd6c5421a27dec82ef95e2cbae630d3ecd8c4d",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2025-06-09T13:16:48Z",
    "title_canon_sha256": "2cd8f733805c10c176b91c208866f5fa162bebfff32683f57fb2096f02958564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07733",
    "kind": "arxiv",
    "version": 1
  }
}