Pith Number

pith:FWUG7MKT

pith:2011:FWUG7MKTQQCQMSOVBK3FMOG77U

not attested not anchored not stored refs pending

H\"older continuity for Trudinger's equation in measure spaces

Jos\'e Miguel Urbano, Juhana Siljander, Rojbin Laleoglu, Tuomo Kuusi

arxiv:1103.1845 v1 · 2011-03-09 · 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{FWUG7MKTQQCQMSOVBK3FMOG77U}

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	2026-05-18T04:22:49.736446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2da86fb15384050649d50ab65638dffd2b4cd770626dea7dd9fd65b073e5c1c7

Aliases

arxiv: 1103.1845 · arxiv_version: 1103.1845v1 · doi: 10.48550/arxiv.1103.1845 · pith_short_12: FWUG7MKTQQCQ · pith_short_16: FWUG7MKTQQCQMSOV · pith_short_8: FWUG7MKT

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/FWUG7MKTQQCQMSOVBK3FMOG77U \
  | 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: 2da86fb15384050649d50ab65638dffd2b4cd770626dea7dd9fd65b073e5c1c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "209135bad19ce3feab2c568624fd4bf6e2721d3586a8444ee76652dcb1cee790",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-09T18:06:40Z",
    "title_canon_sha256": "8a50fd7ca1cf6d3e7d8fd32b63aae28b0c2952cfda7e423acb36b770e8ec7b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1845",
    "kind": "arxiv",
    "version": 1
  }
}