Pith Number

pith:7AWQZ55Z

pith:2021:7AWQZ55ZXRJZXQCMLRTCN6KGP7

not attested not anchored not stored refs pending

Regularity estimates for the p-Sobolev flow

Kenta Nakamura, Masashi Misawa, Tuomo Kuusi

arxiv:2103.15259 v1 · 2021-03-29 · 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{7AWQZ55ZXRJZXQCMLRTCN6KGP7}

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	2026-07-05T02:27:04.264062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f82d0cf7b9bc539bc04c5c6626f9467ff0fa2a80cf7f7e333d750410a738c882

Aliases

arxiv: 2103.15259 · arxiv_version: 2103.15259v1 · doi: 10.48550/arxiv.2103.15259 · pith_short_12: 7AWQZ55ZXRJZ · pith_short_16: 7AWQZ55ZXRJZXQCM · pith_short_8: 7AWQZ55Z

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/7AWQZ55ZXRJZXQCMLRTCN6KGP7 \
  | 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: f82d0cf7b9bc539bc04c5c6626f9467ff0fa2a80cf7f7e333d750410a738c882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20de8c09a1aecb081d7bf319fffd7d0fbd8a084333089a98546dc731747c8ec5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-03-29T01:08:05Z",
    "title_canon_sha256": "67375454f489cad6e0f87f787ab693b997bae33967083c850c9234b383b36c0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15259",
    "kind": "arxiv",
    "version": 1
  }
}