Pith Number

pith:ZQU4YRXC

pith:2013:ZQU4YRXCGYBSYHF4WLMCRDRGS2

not attested not anchored not stored refs pending

A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces

Analia Silva, Juli\'an Fern\'andez Bonder, Nicolas Saintier

arxiv:1310.4800 v2 · 2013-10-17 · 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{ZQU4YRXCGYBSYHF4WLMCRDRGS2}

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	2026-05-18T03:09:32.797011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc29cc46e236032c1cbcb2d8288e2696a4a0f8a3f5b6fefa9755d5bdbf52d967

Aliases

arxiv: 1310.4800 · arxiv_version: 1310.4800v2 · doi: 10.48550/arxiv.1310.4800 · pith_short_12: ZQU4YRXCGYBS · pith_short_16: ZQU4YRXCGYBSYHF4 · pith_short_8: ZQU4YRXC

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/ZQU4YRXCGYBSYHF4WLMCRDRGS2 \
  | 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: cc29cc46e236032c1cbcb2d8288e2696a4a0f8a3f5b6fefa9755d5bdbf52d967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d640aa82b779334fbc6ca17c4f70309ca0bed4db4ac159ae262b11e3b9861d84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-17T19:07:48Z",
    "title_canon_sha256": "414102e10310ab91e358c16d905f35726348ea2562b32c90afbcde56092acadc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4800",
    "kind": "arxiv",
    "version": 2
  }
}