Pith Number

pith:MS4B3JRI

pith:2010:MS4B3JRIYDLKH3G6DWHG23AHP6

not attested not anchored not stored refs pending

Counterintuitive transitions between crossing energy levels

A. A. Rangelov, J. Piilo, N. V. Vitanov

arxiv:1010.1280 v1 · 2010-10-06 · 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{MS4B3JRIYDLKH3G6DWHG23AHP6}

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	2026-05-18T04:39:48.975596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64b81da628c0d6a3ecde1d8e6d6c077f96ca222fd46ba057998bfd531094ee02

Aliases

arxiv: 1010.1280 · arxiv_version: 1010.1280v1 · doi: 10.48550/arxiv.1010.1280 · pith_short_12: MS4B3JRIYDLK · pith_short_16: MS4B3JRIYDLKH3G6 · pith_short_8: MS4B3JRI

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/MS4B3JRIYDLKH3G6DWHG23AHP6 \
  | 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: 64b81da628c0d6a3ecde1d8e6d6c077f96ca222fd46ba057998bfd531094ee02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14dda292d9e6bb6d211ae0e64fbaf96bfd6f3b5860d719dcc17bd1ae484500a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-10-06T21:08:57Z",
    "title_canon_sha256": "a591baaf73e9c50e23e4cac1d24983888946fd06a6167c4a7e56bee0f8fe93e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1280",
    "kind": "arxiv",
    "version": 1
  }
}