Pith Number

pith:WMSCYBR5

pith:2017:WMSCYBR5QL5EFJBID5LO7BNDS5

not attested not anchored not stored refs pending

Shnol-type theorem for the Agmon ground state

Siegfried Beckus, Yehuda Pinchover

arxiv:1706.04869 v1 · 2017-06-15 · math.SP · math-ph · math.AP · 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{WMSCYBR5QL5EFJBID5LO7BNDS5}

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	2026-05-18T00:42:18.711983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3242c063d82fa42a4281f56ef85a3977c4ed57a8af037ee1d75407c2a49a200

Aliases

arxiv: 1706.04869 · arxiv_version: 1706.04869v1 · doi: 10.48550/arxiv.1706.04869 · pith_short_12: WMSCYBR5QL5E · pith_short_16: WMSCYBR5QL5EFJBI · pith_short_8: WMSCYBR5

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/WMSCYBR5QL5EFJBID5LO7BNDS5 \
  | 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: b3242c063d82fa42a4281f56ef85a3977c4ed57a8af037ee1d75407c2a49a200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1f09b7833f638e8426f4b6ad492ef64649e1d69f6d769325f8c6717666eaa9f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-06-15T13:52:13Z",
    "title_canon_sha256": "96f3488ce97ca08ac0b2a91529c59aaaf29643616c31867ce774e6ce00e2feb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04869",
    "kind": "arxiv",
    "version": 1
  }
}