Pith Number

pith:2CSZJ5NU

pith:2026:2CSZJ5NULS5IELRQBCD74T3JUI

not attested not anchored not stored refs pending

The primitive equations on curved surfaces

G. Simonett, M. Hieber, M. Wilke, Y. Shao

arxiv:2607.27724 v1 · 2026-07-30 · 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{2CSZJ5NULS5IELRQBCD74T3JUI}

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	2026-07-31T01:30:02.807560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

d0a594f5b45cba822e300887fe4f69a21f1598e16c0d75b3be4af6d85e7a8f1d

Aliases

arxiv: 2607.27724 · arxiv_version: 2607.27724v1 · doi: 10.48550/arxiv.2607.27724 · pith_short_12: 2CSZJ5NULS5I · pith_short_16: 2CSZJ5NULS5IELRQ · pith_short_8: 2CSZJ5NU

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/2CSZJ5NULS5IELRQBCD74T3JUI \
  | 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: d0a594f5b45cba822e300887fe4f69a21f1598e16c0d75b3be4af6d85e7a8f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa5b47db76d777422e16d8c042402e1d9a8dc96c48d9981dc27d524fff26b74",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-30T06:03:14Z",
    "title_canon_sha256": "6f973bfa9cceb6aec576b14b8e86acb5a6299bd0cfbe11364f6a8d704ad4837b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27724",
    "kind": "arxiv",
    "version": 1
  }
}