Pith Number

pith:4KOC4GDG

pith:2017:4KOC4GDGNWIPSQUZFN2RCRE7DK

not attested not anchored not stored refs pending

Solution of the spin and pseudo-spin symmetric Dirac equation in 1+1 space-time using the tridiagonal representation approach

A. D. Alhaidari, H. Bahlouli, I. A. Assi

arxiv:1707.05625 v1 · 2017-07-18 · hep-th · math-ph · math.MP · 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{4KOC4GDGNWIPSQUZFN2RCRE7DK}

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	2026-05-18T00:19:27.592926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e29c2e18666d90f942992b7511449f1a9486ad3e55ffe78e3fd32c878bb1c4bc

Aliases

arxiv: 1707.05625 · arxiv_version: 1707.05625v1 · doi: 10.48550/arxiv.1707.05625 · pith_short_12: 4KOC4GDGNWIP · pith_short_16: 4KOC4GDGNWIPSQUZ · pith_short_8: 4KOC4GDG

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/4KOC4GDGNWIPSQUZFN2RCRE7DK \
  | 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: e29c2e18666d90f942992b7511449f1a9486ad3e55ffe78e3fd32c878bb1c4bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76b3a7e3e6f1c3c32872091a8e276cbdca89900319210321b9ed848df61ef0b3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-07-18T14:06:39Z",
    "title_canon_sha256": "6336f6c6c08fd4cce51694f8c44e7ea19c18ec3c60a124078431c666c354639e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05625",
    "kind": "arxiv",
    "version": 1
  }
}