Pith Number

pith:QWPWNKHE

pith:2001:QWPWNKHELUDX5UTKBSNDU62ZEZ

not attested not anchored not stored refs pending

Spectra of 2D H-donors in magnetic field and their Zeeman splitting

Maen Odeh, Omar Mustafa

arxiv:math-ph/0101034 v2 · 2001-01-30 · math-ph · cs.NA · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWPWNKHELUDX5UTKBSNDU62ZEZ}

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	2026-06-03T22:06:14.245681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859f66a8e45d077ed26a0c9a3a7b5926471bb8d25b2171b48fdd096ff924183f

Aliases

arxiv: math-ph/0101034 · arxiv_version: math-ph/0101034v2 · doi: 10.48550/arxiv.math-ph/0101034 · pith_short_12: QWPWNKHELUDX · pith_short_16: QWPWNKHELUDX5UTK · pith_short_8: QWPWNKHE

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/QWPWNKHELUDX5UTKBSNDU62ZEZ \
  | 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: 859f66a8e45d077ed26a0c9a3a7b5926471bb8d25b2171b48fdd096ff924183f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3bedd0a418fc0ddc557d61bd04cbf2076900c4130f29d801f4f1175e70e4b01",
    "cross_cats_sorted": [
      "cs.NA",
      "math.MP",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-01-30T09:44:56Z",
    "title_canon_sha256": "e90b0186928ad13453fd5ab5d927501d03ab65c3152d51b30f67000f911416de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0101034",
    "kind": "arxiv",
    "version": 2
  }
}