Pith Number

pith:KXSHVK7C

pith:2013:KXSHVK7C2PYZ4WXSN4CJZJUQU4

not attested not anchored not stored refs pending

An extension of a Theorem of V. \v{S}ver\'ak to variable exponent spaces

Carla Baroncini, Julian Fernandez Bonder

arxiv:1311.6757 v1 · 2013-11-26 · 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{KXSHVK7C2PYZ4WXSN4CJZJUQU4}

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	2026-05-18T03:06:05.928847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55e47aabe2d3f19e5af26f049ca690a711d42ede7bdcf6fc0f96b8d568fbb645

Aliases

arxiv: 1311.6757 · arxiv_version: 1311.6757v1 · doi: 10.48550/arxiv.1311.6757 · pith_short_12: KXSHVK7C2PYZ · pith_short_16: KXSHVK7C2PYZ4WXS · pith_short_8: KXSHVK7C

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/KXSHVK7C2PYZ4WXSN4CJZJUQU4 \
  | 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: 55e47aabe2d3f19e5af26f049ca690a711d42ede7bdcf6fc0f96b8d568fbb645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2fad0e2342279d8398a8d2af07d2dbcf5b26a724abc22aa24e4bc5aaa4ac1ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-26T18:04:52Z",
    "title_canon_sha256": "f41487e67fef19a9aa11bacba3b3f17d0e20345b0d671f421634bcde613080e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6757",
    "kind": "arxiv",
    "version": 1
  }
}