Pith Number

pith:GVR2LAYU

pith:2016:GVR2LAYUOBRDKWQH6E236CZ5GS

not attested not anchored not stored refs pending

On boundary behavior of mappings of Sobolev and Orlicz--Sobolev class

Evgeny Sevost'yanov

arxiv:1601.03762 v4 · 2016-01-14 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVR2LAYUOBRDKWQH6E236CZ5GS}

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	2026-05-18T01:20:55.481862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3563a583147062355a07f135bf0b3d34bd67fa77058722abeba75d8555d16e0f

Aliases

arxiv: 1601.03762 · arxiv_version: 1601.03762v4 · doi: 10.48550/arxiv.1601.03762 · pith_short_12: GVR2LAYUOBRD · pith_short_16: GVR2LAYUOBRDKWQH · pith_short_8: GVR2LAYU

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/GVR2LAYUOBRDKWQH6E236CZ5GS \
  | 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: 3563a583147062355a07f135bf0b3d34bd67fa77058722abeba75d8555d16e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2f929858427213f21438d6524fa82b8076af78e08cf55dfa86d28de06df03d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-14T21:38:05Z",
    "title_canon_sha256": "5a457b4f58c83265197164e5a8d629efb9bdd00e2e2731fe356f5c952ce06267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03762",
    "kind": "arxiv",
    "version": 4
  }
}