Pith Number

pith:XQX5YZGH

pith:2015:XQX5YZGHXIQ64FFR3VCMYGOBA5

not attested not anchored not stored refs pending

Existence and uniqueness of the global solution to the Navier-Stokes boundary problem

Alexander G. Ramm

arxiv:1503.01064 v2 · 2015-03-03 · 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{XQX5YZGHXIQ64FFR3VCMYGOBA5}

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	2026-05-18T02:07:26.412724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc2fdc64c7ba21ee14b1dd44cc19c107485b87468f408c451f16b81cebf65f6d

Aliases

arxiv: 1503.01064 · arxiv_version: 1503.01064v2 · doi: 10.48550/arxiv.1503.01064 · pith_short_12: XQX5YZGHXIQ6 · pith_short_16: XQX5YZGHXIQ64FFR · pith_short_8: XQX5YZGH

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/XQX5YZGHXIQ64FFR3VCMYGOBA5 \
  | 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: bc2fdc64c7ba21ee14b1dd44cc19c107485b87468f408c451f16b81cebf65f6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1986f2fb9eeaff869a5e8c0f594e626b7951e0f80b794aa86afd0bfa6eb82b75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-03T19:16:33Z",
    "title_canon_sha256": "1fe3cd3e6778c7f20871e5e51d51768c35c8fbbe5a98e542ac90a35e2d398ef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01064",
    "kind": "arxiv",
    "version": 2
  }
}