Pith Number

pith:YYL7UV6V

pith:2016:YYL7UV6V24DZNH36D6ZKX2LMNL

not attested not anchored not stored refs pending

Defect in the Joint Spectrum of Hydrogen due to Monodromy

Holger Dullin, Holger Waalkens

arxiv:1612.00823 v1 · 2016-12-02 · math-ph · math.MP · nlin.SI · 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{YYL7UV6V24DZNH36D6ZKX2LMNL}

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	2026-05-18T00:25:45.696517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c617fa57d5d707969f7e1fb2abe96c6af9f6c3083510aaedca70e0b671bf0032

Aliases

arxiv: 1612.00823 · arxiv_version: 1612.00823v1 · doi: 10.48550/arxiv.1612.00823 · pith_short_12: YYL7UV6V24DZ · pith_short_16: YYL7UV6V24DZNH36 · pith_short_8: YYL7UV6V

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/YYL7UV6V24DZNH36D6ZKX2LMNL \
  | 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: c617fa57d5d707969f7e1fb2abe96c6af9f6c3083510aaedca70e0b671bf0032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b97cffdc2f5d9498cc502d2af789a7b7b0c65cd645a0b22b5b996e50273abe30",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-02T20:20:40Z",
    "title_canon_sha256": "5cf32cc510825678210ebc4ff260d07e3dd4d54cec097a1bacb30af4a4337f8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00823",
    "kind": "arxiv",
    "version": 1
  }
}