Pith Number

pith:VTDFURHD

pith:2016:VTDFURHDZAQTIK2C2OI6PTRIEV

not attested not anchored not stored refs pending

Regularity of Maps between Sobolev Spaces

Martins Bruveris

arxiv:1602.06558 v1 · 2016-02-21 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTDFURHDZAQTIK2C2OI6PTRIEV}

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	2026-05-18T01:20:13.700690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acc65a44e3c821342b42d391e7ce28257ea722f4775e900d8d823154aa0f2a0d

Aliases

arxiv: 1602.06558 · arxiv_version: 1602.06558v1 · doi: 10.48550/arxiv.1602.06558 · pith_short_12: VTDFURHDZAQT · pith_short_16: VTDFURHDZAQTIK2C · pith_short_8: VTDFURHD

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/VTDFURHDZAQTIK2C2OI6PTRIEV \
  | 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: acc65a44e3c821342b42d391e7ce28257ea722f4775e900d8d823154aa0f2a0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b378e15d3afc6338f7ed6c80231302e50e8b78f4795582d2e84f7d02fda2857",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-21T18:03:28Z",
    "title_canon_sha256": "de342bbed47d07eb9213bc77609c10d05afe06fef5bd513da8d64516bd8a79f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06558",
    "kind": "arxiv",
    "version": 1
  }
}