Pith Number

pith:RANJS7A5

pith:2019:RANJS7A5WJFOLO2W4722ZJV64Q

not attested not anchored not stored refs pending

A sufficient condition for uniqueness of weak solutions of the incompressible Euler system

Animesh Jana, Shyam Sundar Ghoshal

arxiv:1906.05252 v1 · 2019-06-12 · 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{RANJS7A5WJFOLO2W4722ZJV64Q}

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	2026-05-17T23:43:29.058685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

881a997c1db24ae5bb56e7f5aca6bee40f0d77164ff2c806afeae658a8b73238

Aliases

arxiv: 1906.05252 · arxiv_version: 1906.05252v1 · doi: 10.48550/arxiv.1906.05252 · pith_short_12: RANJS7A5WJFO · pith_short_16: RANJS7A5WJFOLO2W · pith_short_8: RANJS7A5

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/RANJS7A5WJFOLO2W4722ZJV64Q \
  | 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: 881a997c1db24ae5bb56e7f5aca6bee40f0d77164ff2c806afeae658a8b73238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d1e80a84a47bcf4afe3707d97f3d82d3ae7bc870b7e64e66829b06f25ad97d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-12T17:22:36Z",
    "title_canon_sha256": "78f6a3ec9f84b46d6f51b2be7d9e7995ea38a42a57bc6b382e84038608c06734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05252",
    "kind": "arxiv",
    "version": 1
  }
}