pith. sign in
Pith Number

pith:FXKV6Y3B

pith:2018:FXKV6Y3BW4DCH5JS6HGAWHCE73
not attested not anchored not stored refs pending

Abstract Lorentz spaces and K\"othe duality

Anna Kami\'nska, Yves Raynaud

arxiv:1802.01728 v2 · 2018-02-05 · 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{FXKV6Y3BW4DCH5JS6HGAWHCE73}

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 2026-05-17T23:42:59.024453Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2dd55f6361b70623f532f1cc0b1c44fec7feb9ff0fa43a0427d3382eab24582c

Aliases

arxiv: 1802.01728 · arxiv_version: 1802.01728v2 · doi: 10.48550/arxiv.1802.01728 · pith_short_12: FXKV6Y3BW4DC · pith_short_16: FXKV6Y3BW4DCH5JS · pith_short_8: FXKV6Y3B
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/FXKV6Y3BW4DCH5JS6HGAWHCE73 \
  | 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: 2dd55f6361b70623f532f1cc0b1c44fec7feb9ff0fa43a0427d3382eab24582c
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "4da1bcd3c2865e9c7fd14aeda4b6d838be918abcfcbde563d66623ce32c0b95b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-05T23:16:28Z",
    "title_canon_sha256": "c7098d89a93dfb5d6b88805dc4eec2a076e778e35510f5980a0ea5413f8d5fa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01728",
    "kind": "arxiv",
    "version": 2
  }
}