Pith Number

pith:GPOBXTZ6

pith:2013:GPOBXTZ6APJIVUJVGM3TFRUNFT

not attested not anchored not stored refs pending

Asymptotics of solutions to the Navier-Stokes system in exterior domains

Christophe Lacave, Dragos Iftimie, Grzegorz Karch

arxiv:1307.7837 v1 · 2013-07-30 · 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{GPOBXTZ6APJIVUJVGM3TFRUNFT}

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	2026-05-18T00:44:29.603811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33dc1bcf3e03d28ad135333732c68d2cff7401488f54f4d6acec06eb5b958cc0

Aliases

arxiv: 1307.7837 · arxiv_version: 1307.7837v1 · doi: 10.48550/arxiv.1307.7837 · pith_short_12: GPOBXTZ6APJI · pith_short_16: GPOBXTZ6APJIVUJV · pith_short_8: GPOBXTZ6

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/GPOBXTZ6APJIVUJVGM3TFRUNFT \
  | 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: 33dc1bcf3e03d28ad135333732c68d2cff7401488f54f4d6acec06eb5b958cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcb3b2028880bd2eba0f630d0d4d1a45817fab5e3b144349ff071d1f45323f4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-30T06:38:41Z",
    "title_canon_sha256": "44c0cb194e2f3ebacef7951474d93b509d7359150d437ad33c9134fac1f51839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7837",
    "kind": "arxiv",
    "version": 1
  }
}