Pith Number

pith:DHK4ZVOB

pith:2003:DHK4ZVOBZNW75LSYDKB5MT6F3I

not attested not anchored not stored refs pending

Analytic calculation of nonadiabatic transition probabilities from monodromy of differential equations

K. Nakamura, M. Lakshmanan, T. Kato

arxiv:quant-ph/0309075 v1 · 2003-09-09 · 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{DHK4ZVOBZNW75LSYDKB5MT6F3I}

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	2026-07-04T16:42:36.811507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19d5ccd5c1cb6dfeae581a83d64fc5da3b24e87fce8361730aef3f0b6ab9b822

Aliases

arxiv: quant-ph/0309075 · arxiv_version: quant-ph/0309075v1 · doi: 10.48550/arxiv.quant-ph/0309075 · pith_short_12: DHK4ZVOBZNW7 · pith_short_16: DHK4ZVOBZNW75LSY · pith_short_8: DHK4ZVOB

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/DHK4ZVOBZNW75LSYDKB5MT6F3I \
  | 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: 19d5ccd5c1cb6dfeae581a83d64fc5da3b24e87fce8361730aef3f0b6ab9b822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "757b1bf22f142128366799b961aa99078b311b286ce3782f800427cb50d07b60",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-09-09T11:47:38Z",
    "title_canon_sha256": "5d4781cc28bfd24633f4aac3905c7fc070a04c751564c21da4177964b4e8c074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0309075",
    "kind": "arxiv",
    "version": 1
  }
}