Pith Number

pith:45TOGYD7

pith:1995:45TOGYD7TDE7Z336HU6SQSN5ZI

not attested not anchored not stored refs pending

The Quaternionic Dirac Lagrangian

Pietro Rotelli, Stefano De Leo

arxiv:hep-th/9509059 v1 · 1995-09-11 · 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{45TOGYD7TDE7Z336HU6SQSN5ZI}

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	2026-05-18T01:38:38.836061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e766e3607f98c9fcef7e3d3d2849bdca3764bff0cab4f4fe573e405cced3dac0

Aliases

arxiv: hep-th/9509059 · arxiv_version: hep-th/9509059v1 · doi: 10.48550/arxiv.hep-th/9509059 · pith_short_12: 45TOGYD7TDE7 · pith_short_16: 45TOGYD7TDE7Z336 · pith_short_8: 45TOGYD7

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/45TOGYD7TDE7Z336HU6SQSN5ZI \
  | 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: e766e3607f98c9fcef7e3d3d2849bdca3764bff0cab4f4fe573e405cced3dac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd4a4523889b6c15a80e7c1ab7c55657c1bdabe6139c725b4699d19dca9b6a84",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1995-09-11T08:29:30Z",
    "title_canon_sha256": "f0f7f6d26616de4ad76c31e8421d6b4b2138f0f98a6c19bf065b767c975bb991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9509059",
    "kind": "arxiv",
    "version": 1
  }
}