Pith Number

pith:VPDWI6GM

pith:2016:VPDWI6GMJBD2TW57DFZIH4KKB5

not attested not anchored not stored refs pending

The Turnpike Property for Two-Dimensional Navier-Stokes Equations

S. Zamorano

arxiv:1601.04984 v1 · 2016-01-19 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPDWI6GMJBD2TW57DFZIH4KKB5}

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	2026-05-18T01:22:31.415631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abc76478cc4847a9dbbf197283f14a0f4f4445aaa89ba390f1d99a8bf6f3c5bc

Aliases

arxiv: 1601.04984 · arxiv_version: 1601.04984v1 · doi: 10.48550/arxiv.1601.04984 · pith_short_12: VPDWI6GMJBD2 · pith_short_16: VPDWI6GMJBD2TW57 · pith_short_8: VPDWI6GM

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/VPDWI6GMJBD2TW57DFZIH4KKB5 \
  | 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: abc76478cc4847a9dbbf197283f14a0f4f4445aaa89ba390f1d99a8bf6f3c5bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "906d6cc21dddad0ee2122260dcfc170f393d94c02f4cf1a4fb38f0e65d1bdd63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-19T16:41:27Z",
    "title_canon_sha256": "c67882654c8cf851507ef9ba8d2459259cf06e0a40f1def43695b1b13279d229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04984",
    "kind": "arxiv",
    "version": 1
  }
}