Pith Number

pith:FWXY3SVV

pith:2017:FWXY3SVVEBW7HN6ECGNEUCOEMI

not attested not anchored not stored refs pending

Generalized solutions and distributional shadows for Dirac equations

Christian Spreitzer, Guenther Hoermann

arxiv:1712.09690 v2 · 2017-12-27 · 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{FWXY3SVVEBW7HN6ECGNEUCOEMI}

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	2026-05-18T00:18:31.131228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2daf8dcab5206df3b7c4119a4a09c46230a50a828963de5106bbd2889dfb2886

Aliases

arxiv: 1712.09690 · arxiv_version: 1712.09690v2 · doi: 10.48550/arxiv.1712.09690 · pith_short_12: FWXY3SVVEBW7 · pith_short_16: FWXY3SVVEBW7HN6E · pith_short_8: FWXY3SVV

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/FWXY3SVVEBW7HN6ECGNEUCOEMI \
  | 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: 2daf8dcab5206df3b7c4119a4a09c46230a50a828963de5106bbd2889dfb2886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd767ec7bb991b1deb7509fa82116de1537bdd423c9f27828a048fc5475874b9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-27T21:28:20Z",
    "title_canon_sha256": "d4f03f76cfac30e162482b7120f187a9e4aec78df14c6f0951c98dd905922018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09690",
    "kind": "arxiv",
    "version": 2
  }
}