Pith Number

pith:3UYWVUML

pith:2017:3UYWVUML5DG2FYMHXVCGLVEDMI

not attested not anchored not stored refs pending

Banach spaces for the Schwartz distributions

Tepper L Gill

arxiv:1704.02949 v1 · 2017-03-29 · 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{3UYWVUML5DG2FYMHXVCGLVEDMI}

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	2026-05-18T00:46:43.597868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd316ad18be8cda2e187bd4465d4836228f58bdbcd4211193bd0cff8cb77ab3d

Aliases

arxiv: 1704.02949 · arxiv_version: 1704.02949v1 · doi: 10.48550/arxiv.1704.02949 · pith_short_12: 3UYWVUML5DG2 · pith_short_16: 3UYWVUML5DG2FYMH · pith_short_8: 3UYWVUML

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/3UYWVUML5DG2FYMHXVCGLVEDMI \
  | 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: dd316ad18be8cda2e187bd4465d4836228f58bdbcd4211193bd0cff8cb77ab3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eb77734df34b94bc166020d5df59077b8e82e59887ebc5b185d351f62c7cd1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-29T14:35:42Z",
    "title_canon_sha256": "927640b6bccbce1c3554725771635daa644fd2b1f2fb1a21fed2badb7192f4ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02949",
    "kind": "arxiv",
    "version": 1
  }
}