Pith Number

pith:F4O5VYGM

pith:2017:F4O5VYGM6H3PPDVEGV75JAKTQS

not attested not anchored not stored refs pending

Probabilistic characterizations of essential self-adjointness and removability of singularities

Jun Masamune, Michael Hinz, Seunghyun Kang

arxiv:1703.06056 v1 · 2017-03-17 · math.PR · math-ph · math.FA · 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{F4O5VYGM6H3PPDVEGV75JAKTQS}

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	2026-05-18T00:48:29.594963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1ddae0ccf1f6f78ea4357fd481538496627b1dec8a1939880e48ba875c2037

Aliases

arxiv: 1703.06056 · arxiv_version: 1703.06056v1 · doi: 10.48550/arxiv.1703.06056 · pith_short_12: F4O5VYGM6H3P · pith_short_16: F4O5VYGM6H3PPDVE · pith_short_8: F4O5VYGM

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/F4O5VYGM6H3PPDVEGV75JAKTQS \
  | 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: 2f1ddae0ccf1f6f78ea4357fd481538496627b1dec8a1939880e48ba875c2037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e76b0575ac30a1756f562e6474c6053f6eb950c82628b373afba087a6eb88150",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-17T15:45:39Z",
    "title_canon_sha256": "23e80dc2a09958e11c21616faa3b4e3703008678a6b5ce7c0a1e1eb50a1b4146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06056",
    "kind": "arxiv",
    "version": 1
  }
}