Pith Number

pith:CKIEYUHD

pith:2026:CKIEYUHDTVU3TKXO6CMHXHI5HY

not attested not anchored not stored refs pending

Global existence for a Zakharov type system in a domain

Masahito Ohta, Nobutatsu Kobayashi

arxiv:2606.09519 v1 · 2026-06-08 · 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{CKIEYUHDTVU3TKXO6CMHXHI5HY}

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	2026-06-09T02:08:53.075177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12904c50e39d69b9aaeef0987b9d1d3e22d762ab3667c79e0b7513a52ae412d6

Aliases

arxiv: 2606.09519 · arxiv_version: 2606.09519v1 · doi: 10.48550/arxiv.2606.09519 · pith_short_12: CKIEYUHDTVU3 · pith_short_16: CKIEYUHDTVU3TKXO · pith_short_8: CKIEYUHD

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/CKIEYUHDTVU3TKXO6CMHXHI5HY \
  | 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: 12904c50e39d69b9aaeef0987b9d1d3e22d762ab3667c79e0b7513a52ae412d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeec2f07a11dd35d373472a2b2e8d57c8cc9e93d15211313af8564ca2593f634",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-08T14:09:30Z",
    "title_canon_sha256": "973a92d4cda84cd5e26819ced687fd38bf6f3d782d356a540bac6f3824ab5f2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09519",
    "kind": "arxiv",
    "version": 1
  }
}