Pith Number

pith:MLYFOPTK

pith:2017:MLYFOPTKDZ32OVACE32SZEDD2J

not attested not anchored not stored refs pending

Global existence, uniqueness and estimates of the solution to the Navier-Stokes equations

A. G. Ramm

arxiv:1705.07455 v1 · 2017-05-21 · 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{MLYFOPTKDZ32OVACE32SZEDD2J}

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	2026-05-18T00:44:05.547436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f0573e6a1e77a7540226f52c9063d2461b1b83ac2b9c0898ed5cd83087a529

Aliases

arxiv: 1705.07455 · arxiv_version: 1705.07455v1 · doi: 10.48550/arxiv.1705.07455 · pith_short_12: MLYFOPTKDZ32 · pith_short_16: MLYFOPTKDZ32OVAC · pith_short_8: MLYFOPTK

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/MLYFOPTKDZ32OVACE32SZEDD2J \
  | 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: 62f0573e6a1e77a7540226f52c9063d2461b1b83ac2b9c0898ed5cd83087a529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3448a7feb7e959ea4578232c5ea1dd17f32689329a1ab0cb9327ac2aaab6e83c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-21T14:34:51Z",
    "title_canon_sha256": "0b0aa2bbe92e3a7127fc38b14d51c894c3218f33adab1b81b4e9754335d7a363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07455",
    "kind": "arxiv",
    "version": 1
  }
}