Pith Number

pith:WJZMO65A

pith:2013:WJZMO65AKD5JKMEW4FEFDKB6MJ

not attested not anchored not stored refs pending

Ground State of the Hydrogen Atom via Dirac Equation in a Minimal Length Scenario

J. A. Nogueira, J. C. Fabris, R. O. Francisco, T. L. Antonacci Oakes

arxiv:1308.3395 v1 · 2013-08-15 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJZMO65AKD5JKMEW4FEFDKB6MJ}

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	2026-05-18T01:48:15.231899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b272c77ba050fa953096e14851a83e6248cee3de155dca77e60113fc4c678854

Aliases

arxiv: 1308.3395 · arxiv_version: 1308.3395v1 · doi: 10.48550/arxiv.1308.3395 · pith_short_12: WJZMO65AKD5J · pith_short_16: WJZMO65AKD5JKMEW · pith_short_8: WJZMO65A

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/WJZMO65AKD5JKMEW4FEFDKB6MJ \
  | 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: b272c77ba050fa953096e14851a83e6248cee3de155dca77e60113fc4c678854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "406bd3242062e8ec029fd1dd732304e46818b87007e62c4c69171edb4f048344",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-08-15T13:48:06Z",
    "title_canon_sha256": "67c7e743f0618ecc04a02d0b71866971aac12435d7208d26ae6183bb5f868279"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3395",
    "kind": "arxiv",
    "version": 1
  }
}