Pith Number

pith:3LL6D6X6

pith:2026:3LL6D6X6YLF6H6G567EVCY75PH

not attested not anchored not stored refs pending

Transitions with the same energy difference in the Bohr model of the hydrogen atom

Matthias W. Reinsch

arxiv:2605.29134 v1 · 2026-05-27 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LL6D6X6YLF6H6G567EVCY75PH}

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	2026-05-29T01:05:20.055504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dad7e1fafec2cbe3f8ddf7c95163fd79cc78f6e4c71970a68f785ed0bb4095ef

Aliases

arxiv: 2605.29134 · arxiv_version: 2605.29134v1 · doi: 10.48550/arxiv.2605.29134 · pith_short_12: 3LL6D6X6YLF6 · pith_short_16: 3LL6D6X6YLF6H6G5 · pith_short_8: 3LL6D6X6

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/3LL6D6X6YLF6H6G567EVCY75PH \
  | 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: dad7e1fafec2cbe3f8ddf7c95163fd79cc78f6e4c71970a68f785ed0bb4095ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f8f44c456cf31232fa0ce1c80abb77c95e3b32293ea913e6bec8529d9bf2fd2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-27T21:57:18Z",
    "title_canon_sha256": "42ae26ad010c204631e25bb0132fc0a86def7e4ef040b7745f63be9486f340a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29134",
    "kind": "arxiv",
    "version": 1
  }
}