Pith Number

pith:OJQ3GFR4

pith:2021:OJQ3GFR4DZL6GRUWX4LCFTZ3NM

not attested not anchored not stored refs pending

Non-existence of splash singularities for the two-fluid Euler--Navier-Stokes system

Aynur Bulut

arxiv:2109.15289 v1 · 2021-09-30 · 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{OJQ3GFR4DZL6GRUWX4LCFTZ3NM}

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	2026-07-05T03:18:57.351477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7261b3163c1e57e34696bf1622cf3b6b0536f9873394eaac8484683d6889c355

Aliases

arxiv: 2109.15289 · arxiv_version: 2109.15289v1 · doi: 10.48550/arxiv.2109.15289 · pith_short_12: OJQ3GFR4DZL6 · pith_short_16: OJQ3GFR4DZL6GRUW · pith_short_8: OJQ3GFR4

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/OJQ3GFR4DZL6GRUWX4LCFTZ3NM \
  | 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: 7261b3163c1e57e34696bf1622cf3b6b0536f9873394eaac8484683d6889c355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd33733737c4f00f36ca2564749b64901e4e506252ca5e85885dd3edc160822",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-30T17:34:02Z",
    "title_canon_sha256": "c64148629032cc72f9aac44017b23b56b0b1782fedd81a094ec0070d78e1edcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.15289",
    "kind": "arxiv",
    "version": 1
  }
}