Pith Number

pith:4V3W6SX3

pith:2018:4V3W6SX3GGUSCMQ7OO76NNZTI3

not attested not anchored not stored refs pending

Extension criteria for homogeneous Sobolev space of functions of one variable

Pavel Shvartsman

arxiv:1812.00817 v2 · 2018-11-30 · 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{4V3W6SX3GGUSCMQ7OO76NNZTI3}

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	2026-05-17T23:57:56.832539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5776f4afb31a921321f73bfe6b73346dbb8c66626b24d2bf0223cd319165cbf

Aliases

arxiv: 1812.00817 · arxiv_version: 1812.00817v2 · doi: 10.48550/arxiv.1812.00817 · pith_short_12: 4V3W6SX3GGUS · pith_short_16: 4V3W6SX3GGUSCMQ7 · pith_short_8: 4V3W6SX3

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/4V3W6SX3GGUSCMQ7OO76NNZTI3 \
  | 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: e5776f4afb31a921321f73bfe6b73346dbb8c66626b24d2bf0223cd319165cbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced7a3401dcb35b1dd5232b0b45f1d58d2b285de09d984494c1d09fdf6c81ad0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-30T17:38:29Z",
    "title_canon_sha256": "f9dcb4182e42bde797f8ce90d2686544eea79634cb7d4ce2dfb1c59433ca55b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00817",
    "kind": "arxiv",
    "version": 2
  }
}