Pith Number

pith:O77LRYBZ

pith:2025:O77LRYBZF5CV6Y47EKCWYVBNKA

not attested not anchored not stored refs pending

On the exact solutions of a two-dimensional hydrogen atom in a constant magnetic field

Francisco M. Fern\'andez

arxiv:2506.07765 v2 · 2025-06-09 · 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{O77LRYBZF5CV6Y47EKCWYVBNKA}

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	2026-07-05T11:21:15.608298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77feb8e0392f455f639f22856c542d50289acaafa2925dbc1b11afc63f10d245

Aliases

arxiv: 2506.07765 · arxiv_version: 2506.07765v2 · doi: 10.48550/arxiv.2506.07765 · pith_short_12: O77LRYBZF5CV · pith_short_16: O77LRYBZF5CV6Y47 · pith_short_8: O77LRYBZ

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/O77LRYBZF5CV6Y47EKCWYVBNKA \
  | 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: 77feb8e0392f455f639f22856c542d50289acaafa2925dbc1b11afc63f10d245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b98b0250a272a4098f0961920c39a96a6fcd85d4932194fcf2e34191f0d794",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-09T13:44:31Z",
    "title_canon_sha256": "718fd2608484c1bcc420b104aea53543b321d0a77d1ad7eb9faf34d5fcb4d033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07765",
    "kind": "arxiv",
    "version": 2
  }
}