Pith Number

pith:N3DUV2BC

pith:2018:N3DUV2BC7WUT5UJ2D6VSXXX4CC

not attested not anchored not stored refs pending

Embeddings for spaces of Lorentz-Sobolev type

Andreas Seeger, Walter Trebels

arxiv:1801.10570 v2 · 2018-01-31 · math.FA · math.CA

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3DUV2BC7WUT5UJ2D6VSXXX4CC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:43:51.483395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec74ae822fda93ed13a1fab2bdefc10ba4bda3a567479aebb5c0d1725975bb0

Aliases

arxiv: 1801.10570 · arxiv_version: 1801.10570v2 · doi: 10.48550/arxiv.1801.10570 · pith_short_12: N3DUV2BC7WUT · pith_short_16: N3DUV2BC7WUT5UJ2 · pith_short_8: N3DUV2BC

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/N3DUV2BC7WUT5UJ2D6VSXXX4CC \
  | 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: 6ec74ae822fda93ed13a1fab2bdefc10ba4bda3a567479aebb5c0d1725975bb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d14880b7ba031fb52e0fb56d0cd6866a708d02910a1cd70f3c002f1b68668eb3",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-31T17:40:33Z",
    "title_canon_sha256": "7404e0c2dd244d310694c2fe99047e74b6a932f43eece316cdbc3091da341625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10570",
    "kind": "arxiv",
    "version": 2
  }
}