Pith Number

pith:HFYD2EEX

pith:2026:HFYD2EEXNGDYWE4GS6B7AEB4GG

not attested not anchored not stored refs pending

Hydrogenic rotational levels with spin-0 or spin-1/2 constituent particles

Krzysztof Pachucki, Mateusz Pa\'ntak, Vojt\v{e}ch Patk\'o\v{s}

arxiv:2607.04815 v1 · 2026-07-06 · physics.atom-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{HFYD2EEXNGDYWE4GS6B7AEB4GG}

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	2026-07-07T02:20:04.644739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39703d109769878b13869783f0103c3197e542d61c42ccf5a65f7e718d373271

Aliases

arxiv: 2607.04815 · arxiv_version: 2607.04815v1 · doi: 10.48550/arxiv.2607.04815 · pith_short_12: HFYD2EEXNGDY · pith_short_16: HFYD2EEXNGDYWE4G · pith_short_8: HFYD2EEX

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/HFYD2EEXNGDYWE4GS6B7AEB4GG \
  | 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: 39703d109769878b13869783f0103c3197e542d61c42ccf5a65f7e718d373271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4451b96b9c9efe859151783ac5c1c3c41a35c22f859e070ac25bf26f6518eca2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2026-07-06T08:49:39Z",
    "title_canon_sha256": "4f42b32f32d123be981298d8d4f82211bdeae508050db34d4672abefc4f41eea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04815",
    "kind": "arxiv",
    "version": 1
  }
}