Pith Number

pith:GS33VTVI

pith:2011:GS33VTVIGGN64AFOD2GHFSANCS

not attested not anchored not stored refs pending

Sequential Lower Semi-Continuity of Non-Local Functionals

Peter Elbau

arxiv:1104.2686 v1 · 2011-04-14 · 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{GS33VTVIGGN64AFOD2GHFSANCS}

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	2026-05-18T04:24:27.055405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b7bacea8319bee00ae1e8c72c80d148b8a6359770e92bf38e77033121e3452

Aliases

arxiv: 1104.2686 · arxiv_version: 1104.2686v1 · doi: 10.48550/arxiv.1104.2686 · pith_short_12: GS33VTVIGGN6 · pith_short_16: GS33VTVIGGN64AFO · pith_short_8: GS33VTVI

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/GS33VTVIGGN64AFOD2GHFSANCS \
  | 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: 34b7bacea8319bee00ae1e8c72c80d148b8a6359770e92bf38e77033121e3452

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30798ea49c8626d2edb46a738eb14d0968d2a54c49890e424966d4f19d5c24cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-14T07:58:31Z",
    "title_canon_sha256": "42e8dc13b797dbeb85742155d0ae8860230651abc97820d0398391a70ab44c62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2686",
    "kind": "arxiv",
    "version": 1
  }
}