Pith Number

pith:OJW2KU5R

pith:2018:OJW2KU5RBWR7NGLCG57QSZILW3

not attested not anchored not stored refs pending

New characterizations of Sobolev metric spaces

Marco Squassina, Simone Di Marino

arxiv:1803.01658 v1 · 2018-03-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJW2KU5RBWR7NGLCG57QSZILW3}

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	2026-05-18T00:21:59.992087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

726da553b10da3f69962377f09650bb6ffeb6bf087f93784dfa0388b22388a57

Aliases

arxiv: 1803.01658 · arxiv_version: 1803.01658v1 · doi: 10.48550/arxiv.1803.01658 · pith_short_12: OJW2KU5RBWR7 · pith_short_16: OJW2KU5RBWR7NGLC · pith_short_8: OJW2KU5R

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/OJW2KU5RBWR7NGLCG57QSZILW3 \
  | 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: 726da553b10da3f69962377f09650bb6ffeb6bf087f93784dfa0388b22388a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77f3646dd0d51ffb0d8b1804835dff083e8dad986b0837c671731761193a1363",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-05T13:43:17Z",
    "title_canon_sha256": "8b5dc907f4eded6a396ea044d672b611063021191e88d421471f6d0f3b19dc9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01658",
    "kind": "arxiv",
    "version": 1
  }
}