Pith Number

pith:R4GLZCM2

pith:2010:R4GLZCM2ZCW7HE4A7SUBQWATRQ

not attested not anchored not stored refs pending

Quaternionic Formulation of the Dirac Equation

David Mullins, Don Colladay, Patrick McDonald

arxiv:1008.1280 v1 · 2010-08-06 · hep-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{R4GLZCM2ZCW7HE4A7SUBQWATRQ}

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	2026-05-18T00:37:22.868323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f0cbc899ac8adf39380fca81858138c10b0d02e9299375cd03f4aaebfc8e52e

Aliases

arxiv: 1008.1280 · arxiv_version: 1008.1280v1 · doi: 10.48550/arxiv.1008.1280 · pith_short_12: R4GLZCM2ZCW7 · pith_short_16: R4GLZCM2ZCW7HE4A · pith_short_8: R4GLZCM2

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/R4GLZCM2ZCW7HE4A7SUBQWATRQ \
  | 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: 8f0cbc899ac8adf39380fca81858138c10b0d02e9299375cd03f4aaebfc8e52e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27de5dfd45f97a5271c1214b765bf8a568a17084c0049a6d8b58012e2f4955ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-08-06T21:37:06Z",
    "title_canon_sha256": "f7943203a2bc38eaaff8652b7b45cbd97536f154674b60cd17351d6348275ae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1280",
    "kind": "arxiv",
    "version": 1
  }
}