Pith Number

pith:LNPH4TM4

pith:2013:LNPH4TM4SNNRS7E2NSNPOXGA4U

not attested not anchored not stored refs pending

Structural theorems for ultradistribution semigroups

Daniel Velinov, Marko Kosti\'c, Stevan Pilipovi\'c

arxiv:1306.1094 v1 · 2013-06-05 · 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{LNPH4TM4SNNRS7E2NSNPOXGA4U}

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	2026-05-18T03:21:44.368400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b5e7e4d9c935b197c9a6c9af75cc0e52f5771d50e68cf9bea05eeee352aa0ec

Aliases

arxiv: 1306.1094 · arxiv_version: 1306.1094v1 · doi: 10.48550/arxiv.1306.1094 · pith_short_12: LNPH4TM4SNNR · pith_short_16: LNPH4TM4SNNRS7E2 · pith_short_8: LNPH4TM4

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/LNPH4TM4SNNRS7E2NSNPOXGA4U \
  | 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: 5b5e7e4d9c935b197c9a6c9af75cc0e52f5771d50e68cf9bea05eeee352aa0ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde26953b78d5729ff0223e668dfebe10c7e37aad760dad9928e12bd6fd5241e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-05T13:07:31Z",
    "title_canon_sha256": "c459e8126c714d9fe3c4e5ad59166bdd562a61f6ab83d3738a8053e7e90a3c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1094",
    "kind": "arxiv",
    "version": 1
  }
}