Pith Number

pith:I5ND7FCG

pith:2015:I5ND7FCGILVQ7T75IDOJJNFDGG

not attested not anchored not stored refs pending

Symmetric pairs and self-adjoint extensions of operators, with applications to energy networks

Erin P. J. Pearse, Palle E. T. Jorgensen

arxiv:1512.03463 v2 · 2015-12-10 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5ND7FCGILVQ7T75IDOJJNFDGG}

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	2026-05-18T01:22:53.712210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

475a3f944642eb0fcffd40dc94b4a33181cae3fbb7ea78154d8920bae67fd4cb

Aliases

arxiv: 1512.03463 · arxiv_version: 1512.03463v2 · doi: 10.48550/arxiv.1512.03463 · pith_short_12: I5ND7FCGILVQ · pith_short_16: I5ND7FCGILVQ7T75 · pith_short_8: I5ND7FCG

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/I5ND7FCGILVQ7T75IDOJJNFDGG \
  | 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: 475a3f944642eb0fcffd40dc94b4a33181cae3fbb7ea78154d8920bae67fd4cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8085f0669fe2e125e2cbdc8d0e554841877a9122cce347d0b9e71b5ccdb5720a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-10T22:07:09Z",
    "title_canon_sha256": "eda23dc8acab8908e7a87090583d83bf480dcfa278fb3d1f410a86b2464d2945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03463",
    "kind": "arxiv",
    "version": 2
  }
}