Pith Number

pith:6XLQVDHA

pith:2012:6XLQVDHAYO4CUT65LJOATHH7Z2

not attested not anchored not stored refs pending

Self-adjoint extensions of Dirac operators with Coulomb type singularity

Javier Duoandikoetxea, Luis Vega, Naiara Arrizabalaga

arxiv:1211.5476 v1 · 2012-11-23 · math.AP · 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{6XLQVDHAYO4CUT65LJOATHH7Z2}

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	2026-05-18T01:53:01.180413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5d70a8ce0c3b82a4fdd5a5c099cffce8bcf8db5ef2b89a2cf645bebb64970e3

Aliases

arxiv: 1211.5476 · arxiv_version: 1211.5476v1 · doi: 10.48550/arxiv.1211.5476 · pith_short_12: 6XLQVDHAYO4C · pith_short_16: 6XLQVDHAYO4CUT65 · pith_short_8: 6XLQVDHA

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/6XLQVDHAYO4CUT65LJOATHH7Z2 \
  | 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: f5d70a8ce0c3b82a4fdd5a5c099cffce8bcf8db5ef2b89a2cf645bebb64970e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ddb6581ab94f08fc69fa37d03237e3cbb10c115dd015696dcd933a7aacc83ae",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-23T11:37:55Z",
    "title_canon_sha256": "256621fa359fc70e390db05247626710711b00cb5945cd264e3ab3d336426302"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5476",
    "kind": "arxiv",
    "version": 1
  }
}