Pith Number

pith:K6SI2AEH

pith:2018:K6SI2AEHIKHO27HZYHYIHPJ2YF

not attested not anchored not stored refs pending

Embedding theorem for Dirichlet type spaces

Cheng Yuan, Junming Liu, Songxiao Li

arxiv:1811.05172 v1 · 2018-11-13 · math.CV · 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{K6SI2AEHIKHO27HZYHYIHPJ2YF}

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	2026-05-18T00:00:46.706293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57a48d0087428eed7cf9c1f083bd3ac174b0b7339989d95bec810c511b840da8

Aliases

arxiv: 1811.05172 · arxiv_version: 1811.05172v1 · doi: 10.48550/arxiv.1811.05172 · pith_short_12: K6SI2AEHIKHO · pith_short_16: K6SI2AEHIKHO27HZ · pith_short_8: K6SI2AEH

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/K6SI2AEHIKHO27HZYHYIHPJ2YF \
  | 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: 57a48d0087428eed7cf9c1f083bd3ac174b0b7339989d95bec810c511b840da8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fce3ac69113d86da33bb4ea9e6957246e24acd8054b7c0db0bb3e67b561d4752",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-11-13T09:10:43Z",
    "title_canon_sha256": "3b915dcf11f4ee580ff221b5f702da8d5424781fa89a2277d1335897f85f02bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05172",
    "kind": "arxiv",
    "version": 1
  }
}