Pith Number

pith:CONL6F4G

pith:2021:CONL6F4GMYQAQV6ETYEXUKPDWK

not attested not anchored not stored refs pending

Local Well-posedness for the Motion of a Compressible Gravity Water Wave with Vorticity

Chenyun Luo, Junyan Zhang

arxiv:2109.02822 v2 · 2021-09-07 · 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{CONL6F4GMYQAQV6ETYEXUKPDWK}

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	2026-07-05T04:31:23.883783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

139abf178666200857c49e097a29e3b2862e4ea7ccda8ae5fa53fba699202947

Aliases

arxiv: 2109.02822 · arxiv_version: 2109.02822v2 · doi: 10.48550/arxiv.2109.02822 · pith_short_12: CONL6F4GMYQA · pith_short_16: CONL6F4GMYQAQV6E · pith_short_8: CONL6F4G

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/CONL6F4GMYQAQV6ETYEXUKPDWK \
  | 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: 139abf178666200857c49e097a29e3b2862e4ea7ccda8ae5fa53fba699202947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e59b7876276ba74bb09170e3fb94dfaf2229e4dac32d8481e34c549af9c8382a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-07T02:23:24Z",
    "title_canon_sha256": "e56373fb54e339ab17444dcfe6dbeb674b84bb81d337c92ef18f366c1e18f9ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.02822",
    "kind": "arxiv",
    "version": 2
  }
}