Pith Number

pith:AYQMSJP6

pith:2011:AYQMSJP6M3S3BQN6MZ5AP3NNVI

not attested not anchored not stored refs pending

Spherical waves for Dirac--K\"{a}hler and Dirac particles, formal relations between boson and fermion solutions

V.M. Red'kov

arxiv:1109.3298 v1 · 2011-09-15 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYQMSJP6M3S3BQN6MZ5AP3NNVI}

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	2026-05-18T04:12:57.035413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0620c925fe66e5b0c1be667a07edadaa21eda6bf023a58acb13367a5af0b583d

Aliases

arxiv: 1109.3298 · arxiv_version: 1109.3298v1 · doi: 10.48550/arxiv.1109.3298 · pith_short_12: AYQMSJP6M3S3 · pith_short_16: AYQMSJP6M3S3BQN6 · pith_short_8: AYQMSJP6

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/AYQMSJP6M3S3BQN6MZ5AP3NNVI \
  | 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: 0620c925fe66e5b0c1be667a07edadaa21eda6bf023a58acb13367a5af0b583d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b801683e5bfaef0104274ec5820632171f69aed9e9789ce3a14cef99eec18aa5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-15T09:21:07Z",
    "title_canon_sha256": "da27123d566f7f6ae2c432ca40e2f2c5bd0a6c5d051b543ebf56cf442239187a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3298",
    "kind": "arxiv",
    "version": 1
  }
}