Pith Number

pith:QAMRIP3Z

pith:2015:QAMRIP3Z6GTD3STIN7N4PNIDL4

not attested not anchored not stored refs pending

Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary

Chao Wang, Weiren Zhao, Yunrui Zheng, Zhifei Zhang

arxiv:1507.02478 v1 · 2015-07-09 · 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{QAMRIP3Z6GTD3STIN7N4PNIDL4}

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	2026-05-18T01:37:06.606298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8019143f79f1a63dca686fdbc7b5035f1019b617344a57410921d873b64fe84b

Aliases

arxiv: 1507.02478 · arxiv_version: 1507.02478v1 · doi: 10.48550/arxiv.1507.02478 · pith_short_12: QAMRIP3Z6GTD · pith_short_16: QAMRIP3Z6GTD3STI · pith_short_8: QAMRIP3Z

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/QAMRIP3Z6GTD3STIN7N4PNIDL4 \
  | 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: 8019143f79f1a63dca686fdbc7b5035f1019b617344a57410921d873b64fe84b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f32f5cd4cfafbc9453fc39bd92853e65aa9dd085d74cfe8d1692bf8541657a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-09T12:23:57Z",
    "title_canon_sha256": "2b3dddd491f520fadc828d87bc405edbc454ff709c4fdf7efc0f35c03b053372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02478",
    "kind": "arxiv",
    "version": 1
  }
}