Pith Number

pith:77WL65R7

pith:2015:77WL65R76QEIRFIP33L2DPHKAT

not attested not anchored not stored refs pending

Liouville Type Theorem for Stationary Navier-Stokes Equations

Gregory Seregin

arxiv:1512.02915 v1 · 2015-12-09 · 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{77WL65R76QEIRFIP33L2DPHKAT}

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	2026-05-18T01:10:51.843351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffecbf763ff40888950fded7a1bcea04c0ebbe74a355b89a897e9f94f5cb3b53

Aliases

arxiv: 1512.02915 · arxiv_version: 1512.02915v1 · doi: 10.48550/arxiv.1512.02915 · pith_short_12: 77WL65R76QEI · pith_short_16: 77WL65R76QEIRFIP · pith_short_8: 77WL65R7

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/77WL65R76QEIRFIP33L2DPHKAT \
  | 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: ffecbf763ff40888950fded7a1bcea04c0ebbe74a355b89a897e9f94f5cb3b53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd35ec0fac018976e5d91b85114a9183740ab3f36877767b775231ecdab28a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-09T16:00:10Z",
    "title_canon_sha256": "b312ee86ecef8b2e6176172f7b7648648587dc92363ee18e1abba49de4cb2ef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02915",
    "kind": "arxiv",
    "version": 1
  }
}