Pith Number

pith:6SRBFT6F

pith:2015:6SRBFT6FWVOOKSEPRHAE64RTXN

not attested not anchored not stored refs pending

Local exact controllability for the 2 and 3-d compressible Navier-Stokes equations

Olivier Glass (CEREMADE), Sergio Guerrero (LJLL), Sylvain Ervedoza (IMT)

arxiv:1512.06516 v1 · 2015-12-21 · math.AP · 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{6SRBFT6FWVOOKSEPRHAE64RTXN}

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	2026-05-18T01:24:00.329860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4a212cfc5b55ce5488f89c04f7233bb780e7881212383ab9ff5d5c54132c4b2

Aliases

arxiv: 1512.06516 · arxiv_version: 1512.06516v1 · doi: 10.48550/arxiv.1512.06516 · pith_short_12: 6SRBFT6FWVOO · pith_short_16: 6SRBFT6FWVOOKSEP · pith_short_8: 6SRBFT6F

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/6SRBFT6FWVOOKSEPRHAE64RTXN \
  | 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: f4a212cfc5b55ce5488f89c04f7233bb780e7881212383ab9ff5d5c54132c4b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5635619c7d75ccfb30dacc6b35fab90cc101a0a476f8fe289f4039d457f5e7f0",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-21T08:20:35Z",
    "title_canon_sha256": "9fa3f13751bd10f9611aea552f7f1e5f462eea62173df801cd4fa6f8a9a6ed87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06516",
    "kind": "arxiv",
    "version": 1
  }
}