Pith Number

pith:6NIUM6WM

pith:2007:6NIUM6WMYA73LPKW6AK44Z7QMW

not attested not anchored not stored refs pending

Spectral stability of noncharacteristic isentropic Navier-Stokes boundary layers

Jeffrey Humpherys, Kevin Zumbrun, Nicola Costanzino, Toan Nguyen

arxiv:0706.3415 v1 · 2007-06-22 · 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{6NIUM6WMYA73LPKW6AK44Z7QMW}

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	2026-05-18T00:42:44.789851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f351467accc03fb5bd56f015ce67f06590c725f9bdb617a65751ead40b817add

Aliases

arxiv: 0706.3415 · arxiv_version: 0706.3415v1 · doi: 10.48550/arxiv.0706.3415 · pith_short_12: 6NIUM6WMYA73 · pith_short_16: 6NIUM6WMYA73LPKW · pith_short_8: 6NIUM6WM

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/6NIUM6WMYA73LPKW6AK44Z7QMW \
  | 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: f351467accc03fb5bd56f015ce67f06590c725f9bdb617a65751ead40b817add

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e258382fe81d717a5189370e8225b3dd8764a6d7ad59354221417bd797589d1d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-06-22T22:45:05Z",
    "title_canon_sha256": "8364cd03e58c30d049c9e0acc441cbd6cd12cb8a8c10f5675aad5c1ba55c6864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3415",
    "kind": "arxiv",
    "version": 1
  }
}