Pith Number

pith:RM36ZWKX

pith:2019:RM36ZWKXJLEXYUQG6LMG2S6XLV

not attested not anchored not stored refs pending

Vector lattices admitting a positively homogeneous continuous function calculus

Niels Jakob Laustsen, Vladimir G. Troitsky

arxiv:1901.07522 v1 · 2019-01-22 · 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{RM36ZWKXJLEXYUQG6LMG2S6XLV}

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	2026-05-17T23:55:44.573336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b37ecd9574ac97c5206f2d86d4bd75d53c90d9681b4f8565bc41bcc1f5e210a

Aliases

arxiv: 1901.07522 · arxiv_version: 1901.07522v1 · doi: 10.48550/arxiv.1901.07522 · pith_short_12: RM36ZWKXJLEX · pith_short_16: RM36ZWKXJLEXYUQG · pith_short_8: RM36ZWKX

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/RM36ZWKXJLEXYUQG6LMG2S6XLV \
  | 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: 8b37ecd9574ac97c5206f2d86d4bd75d53c90d9681b4f8565bc41bcc1f5e210a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ac535e3db791f39c9a8abf162e7754764762937a8a6cb3d1654df74c7383ff4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-01-22T18:55:34Z",
    "title_canon_sha256": "b836845c637fdf39924baaa5233de86737b00057aeb38c5536de6bac2394c5b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07522",
    "kind": "arxiv",
    "version": 1
  }
}