Pith Number

pith:NXHYJWCM

pith:2017:NXHYJWCM5ZH6LOP47JWPNW2LX4

not attested not anchored not stored refs pending

On Banach spaces of vector-valued random variables and their duals motivated by risk measures

Alois Pichler, Thomas Kalmes

arxiv:1703.10367 v2 · 2017-03-30 · 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{NXHYJWCM5ZH6LOP47JWPNW2LX4}

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	2026-05-18T00:00:45.979969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dcf84d84cee4fe5b9fcfa6cf6db4bbf19f06f2a47404380487d64a14fe87e3f

Aliases

arxiv: 1703.10367 · arxiv_version: 1703.10367v2 · doi: 10.48550/arxiv.1703.10367 · pith_short_12: NXHYJWCM5ZH6 · pith_short_16: NXHYJWCM5ZH6LOP4 · pith_short_8: NXHYJWCM

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/NXHYJWCM5ZH6LOP47JWPNW2LX4 \
  | 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: 6dcf84d84cee4fe5b9fcfa6cf6db4bbf19f06f2a47404380487d64a14fe87e3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1bff41a19b38fb6e41d3dc93eee8e051db6708061ad9dc02e59b758b64d45b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-30T09:01:54Z",
    "title_canon_sha256": "facccabb4ffdf35ded42dda781cf41d9a2d2164b1894d95355e77d859cb9ce8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10367",
    "kind": "arxiv",
    "version": 2
  }
}