Pith Number

pith:VTOOQFRX

pith:2014:VTOOQFRXD44RX7HUIQUK6DDCBJ

not attested not anchored not stored refs pending

The incompressible limit in $L^p$ type critical spaces

Lingbing He, Rapha\"el Danchin (LAMA)

arxiv:1409.7323 v1 · 2014-09-25 · 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{VTOOQFRXD44RX7HUIQUK6DDCBJ}

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	2026-05-18T02:41:58.667721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acdce816371f391bfcf44428af0c620a4e9d6928ee30510bfb4f6506e6a7ed6d

Aliases

arxiv: 1409.7323 · arxiv_version: 1409.7323v1 · doi: 10.48550/arxiv.1409.7323 · pith_short_12: VTOOQFRXD44R · pith_short_16: VTOOQFRXD44RX7HU · pith_short_8: VTOOQFRX

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/VTOOQFRXD44RX7HUIQUK6DDCBJ \
  | 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: acdce816371f391bfcf44428af0c620a4e9d6928ee30510bfb4f6506e6a7ed6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c724ae63013ad9b39f6c5558e00ae8d75701c5bc2202e7fef881678d2aaac77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-25T16:55:02Z",
    "title_canon_sha256": "d9bb43cb77072aee6573bbab59469f2e498b1edc47228ff1ab225f6126ba477d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7323",
    "kind": "arxiv",
    "version": 1
  }
}