Pith Number

pith:GS5K6TS2

pith:2017:GS5K6TS254W2ZEAAIGF5JPFGGM

not attested not anchored not stored refs pending

Self-adjoint and skew-symmetric extensions of the Laplacian with singular Robin boundary condition

Nicolas Popoff, Sergei A. Nazarov

arxiv:1711.09654 v1 · 2017-11-27 · 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{GS5K6TS254W2ZEAAIGF5JPFGGM}

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	2026-05-18T00:29:34.944814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34baaf4e5aef2dac9000418bd4bca633161d372feb890abc9c7e24c05b25d707

Aliases

arxiv: 1711.09654 · arxiv_version: 1711.09654v1 · doi: 10.48550/arxiv.1711.09654 · pith_short_12: GS5K6TS254W2 · pith_short_16: GS5K6TS254W2ZEAA · pith_short_8: GS5K6TS2

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/GS5K6TS254W2ZEAAIGF5JPFGGM \
  | 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: 34baaf4e5aef2dac9000418bd4bca633161d372feb890abc9c7e24c05b25d707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d7b2b40138b7df0c7d54f4441c66821366275cfb933e471178bce452756ccb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-11-27T12:38:08Z",
    "title_canon_sha256": "be0b75a33551a85fb29f1b467eb6ccbe6e6bf27887d425679b6d69900be54752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09654",
    "kind": "arxiv",
    "version": 1
  }
}