Pith Number

pith:MUF7TDBX

pith:2015:MUF7TDBXIS22TUL5EHKXJD4RMG

not attested not anchored not stored refs pending

Remark on Wolf's condition for boundary regularity of Navier-Stokes equations

Gregory Seregin

arxiv:1511.03179 v1 · 2015-11-10 · 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{MUF7TDBXIS22TUL5EHKXJD4RMG}

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	2026-05-18T01:27:16.831091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650bf98c3744b5a9d17d21d5748f91618f93c953521aa73f5dbac3bdc2675856

Aliases

arxiv: 1511.03179 · arxiv_version: 1511.03179v1 · doi: 10.48550/arxiv.1511.03179 · pith_short_12: MUF7TDBXIS22 · pith_short_16: MUF7TDBXIS22TUL5 · pith_short_8: MUF7TDBX

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/MUF7TDBXIS22TUL5EHKXJD4RMG \
  | 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: 650bf98c3744b5a9d17d21d5748f91618f93c953521aa73f5dbac3bdc2675856

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b678ba90c6d1ade04d2d2b582536e275c0ba128bc7414a83718988c9a1816ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-10T16:57:29Z",
    "title_canon_sha256": "1f0d18b472d9fc1013bc852d435444a9eef06a65d6d592a155dfe0fc7fac5347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03179",
    "kind": "arxiv",
    "version": 1
  }
}