Pith Number

pith:ORXSNUJS

pith:2018:ORXSNUJSFBK6VA23C6MSUANVSB

not attested not anchored not stored refs pending

On the subspace of the $L^p$ space, which is an annihilator of an element not belonging to the dual space

Dmitrii Prokhorov

arxiv:1802.08347 v2 · 2018-02-22 · 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{ORXSNUJSFBK6VA23C6MSUANVSB}

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	2026-05-17T23:56:25.163991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

746f26d1322855ea835b17992a01b5905657d3fd5e3291aed975f96c126e2078

Aliases

arxiv: 1802.08347 · arxiv_version: 1802.08347v2 · doi: 10.48550/arxiv.1802.08347 · pith_short_12: ORXSNUJSFBK6 · pith_short_16: ORXSNUJSFBK6VA23 · pith_short_8: ORXSNUJS

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/ORXSNUJSFBK6VA23C6MSUANVSB \
  | 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: 746f26d1322855ea835b17992a01b5905657d3fd5e3291aed975f96c126e2078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a308d4a1ad70e31d156de5b18db8738d82371901378c2b8cd028b911a245a6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-22T23:38:35Z",
    "title_canon_sha256": "40e533b9421ce83b7842446f828f0b07947430c4a99f866f009256cad5f7a227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08347",
    "kind": "arxiv",
    "version": 2
  }
}