Pith Number

pith:AVXDRQMI

pith:2020:AVXDRQMIHTM6GZIRJBMPGHK2CU

not attested not anchored not stored refs pending

The global well-posedness of the compressible fluid model of Korteweg type for the critical case

Miho Murata, Takayuki Kobayashi

arxiv:2009.03043 v1 · 2020-09-04 · 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{AVXDRQMIHTM6GZIRJBMPGHK2CU}

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	2026-07-05T01:33:28.335477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

056e38c1883cd9e365114858f31d5a151853d81a394756328f40036d25184d71

Aliases

arxiv: 2009.03043 · arxiv_version: 2009.03043v1 · doi: 10.48550/arxiv.2009.03043 · pith_short_12: AVXDRQMIHTM6 · pith_short_16: AVXDRQMIHTM6GZIR · pith_short_8: AVXDRQMI

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/AVXDRQMIHTM6GZIRJBMPGHK2CU \
  | 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: 056e38c1883cd9e365114858f31d5a151853d81a394756328f40036d25184d71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1447ed1977d73097951be5f90e6dcd8dd4a731689e5afca2fbdb0197acbc12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-09-04T05:25:55Z",
    "title_canon_sha256": "333f072b8bcab2caf655a84eb7d8fddcef9a45cdd65187a4105681d463e2422c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.03043",
    "kind": "arxiv",
    "version": 1
  }
}