Pith Number

pith:NXI5BPDK

pith:2013:NXI5BPDKZ3J2Z474Z333DCHCI4

not attested not anchored not stored refs pending

Schnol's theorem and spectral properties of massless Dirac operators with scalar potentials

Karl Michael Schmidt, Tomio Umeda

arxiv:1309.3950 v2 · 2013-09-16 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXI5BPDKZ3J2Z474Z333DCHCI4}

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	2026-05-18T01:32:01.421040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dd1d0bc6aced3acf3fccef7b188e24706c9c987ecdcbb312d1830a246dc135a

Aliases

arxiv: 1309.3950 · arxiv_version: 1309.3950v2 · doi: 10.48550/arxiv.1309.3950 · pith_short_12: NXI5BPDKZ3J2 · pith_short_16: NXI5BPDKZ3J2Z474 · pith_short_8: NXI5BPDK

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/NXI5BPDKZ3J2Z474Z333DCHCI4 \
  | 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: 6dd1d0bc6aced3acf3fccef7b188e24706c9c987ecdcbb312d1830a246dc135a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c592e2a775e31dba70f5abee1ac5e14391a0d8543d658a8689c4831d61872653",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-09-16T13:31:26Z",
    "title_canon_sha256": "0b0f357dc6764fbeab2214b16af1fff2f38a2b58ac91754ef987ad7846300721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3950",
    "kind": "arxiv",
    "version": 2
  }
}