Pith Number

pith:RZ65R6AT

pith:2015:RZ65R6ATK3T32ALCMMWWUK7D3P

not attested not anchored not stored refs pending

Finite time singularity formation for the modified SQG patch equation

Alexander Kiselev, Andrej Zlatos, Lenya Ryzhik, Yao Yao

arxiv:1508.07613 v1 · 2015-08-30 · 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{RZ65R6ATK3T32ALCMMWWUK7D3P}

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	2026-05-18T01:34:31.852971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7dd8f81356e7bd0162632d6a2be3dbf8352cfe06660cfe9393b081a3bf2f94

Aliases

arxiv: 1508.07613 · arxiv_version: 1508.07613v1 · doi: 10.48550/arxiv.1508.07613 · pith_short_12: RZ65R6ATK3T3 · pith_short_16: RZ65R6ATK3T32ALC · pith_short_8: RZ65R6AT

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/RZ65R6ATK3T32ALCMMWWUK7D3P \
  | 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: 8e7dd8f81356e7bd0162632d6a2be3dbf8352cfe06660cfe9393b081a3bf2f94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63565108f8b931c0c05eb5c442ece8725dacae9cbf9313cd2487c20187caeac7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-30T18:30:11Z",
    "title_canon_sha256": "618dadfaf5339e84e1f11c3c2d0a4ca58639a9a1e17e94fa2fe721c94f0da6d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07613",
    "kind": "arxiv",
    "version": 1
  }
}