Pith Number

pith:WDP3R6H5

pith:2026:WDP3R6H5I7AKVW4G2IGADTMJ22

not attested not anchored not stored refs pending

On the sharp H\"older exponent in the De Giorgi--Nash--Moser theory

Andr\'e Guerra

arxiv:2606.28244 v1 · 2026-06-26 · 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{WDP3R6H5I7AKVW4G2IGADTMJ22}

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	2026-06-29T01:15:10.268966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0dfb8f8fd47c0aadb86d20c01cd89d6bdab32da0f870a514368f9d8c13c555f

Aliases

arxiv: 2606.28244 · arxiv_version: 2606.28244v1 · doi: 10.48550/arxiv.2606.28244 · pith_short_12: WDP3R6H5I7AK · pith_short_16: WDP3R6H5I7AKVW4G · pith_short_8: WDP3R6H5

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/WDP3R6H5I7AKVW4G2IGADTMJ22 \
  | 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: b0dfb8f8fd47c0aadb86d20c01cd89d6bdab32da0f870a514368f9d8c13c555f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "926b9ea33a11289c3fef429d08bcce494ab36234d34c2eecdd9391ecdd65c388",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-26T16:30:58Z",
    "title_canon_sha256": "915c77ab7636cce2684c7a38f1dd2da934b444f39943956070faf8a3010e2e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28244",
    "kind": "arxiv",
    "version": 1
  }
}