Pith Number

pith:LQVOX6GN

pith:2013:LQVOX6GNXBUMUPFWEE4OCXNQ66

not attested not anchored not stored refs pending

Nodal theorems for the Dirac equation in d >= 1 dimensions

Petr Zorin, Richard L. Hall

arxiv:1309.1749 v1 · 2013-09-06 · 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{LQVOX6GNXBUMUPFWEE4OCXNQ66}

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	2026-05-18T03:01:10.276844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c2aebf8cdb868ca3cb62138e15db0f78db6ddf23f1d3be1b7c9dc10f36d262e

Aliases

arxiv: 1309.1749 · arxiv_version: 1309.1749v1 · doi: 10.48550/arxiv.1309.1749 · pith_short_12: LQVOX6GNXBUM · pith_short_16: LQVOX6GNXBUMUPFW · pith_short_8: LQVOX6GN

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/LQVOX6GNXBUMUPFWEE4OCXNQ66 \
  | 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: 5c2aebf8cdb868ca3cb62138e15db0f78db6ddf23f1d3be1b7c9dc10f36d262e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14251e23f1e2d492f6a219f5a482706368b8ed6e21a01947b355f3a78d54f3cc",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-06T19:32:52Z",
    "title_canon_sha256": "9461d410949c714588f71f536886a146ad6aec84933a29c242f5676157b44ea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1749",
    "kind": "arxiv",
    "version": 1
  }
}