Pith Number

pith:GIV6BLAR

pith:2025:GIV6BLARII2YK4NSGPYCTOMYSQ

not attested not anchored not stored refs pending

An Onsager type theorem for the Euler-Boussinesq equations in two spatial dimensions

Ujjwal Koley

arxiv:2502.04803 v1 · 2025-02-07 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIV6BLARII2YK4NSGPYCTOMYSQ}

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	2026-07-05T10:10:57.454594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

322be0ac1142358571b233f029b998943b39bd594af7165bda57c38c97e70218

Aliases

arxiv: 2502.04803 · arxiv_version: 2502.04803v1 · doi: 10.48550/arxiv.2502.04803 · pith_short_12: GIV6BLARII2Y · pith_short_16: GIV6BLARII2YK4NS · pith_short_8: GIV6BLAR

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/GIV6BLARII2YK4NSGPYCTOMYSQ \
  | 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: 322be0ac1142358571b233f029b998943b39bd594af7165bda57c38c97e70218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e365d17654351d51511363d73b3b941f27a4b83c935b14e27b285206573f2234",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-07T10:14:36Z",
    "title_canon_sha256": "eef12c82cd7fad4989469dcb3cc4c6a505bb91776495ffe8bd87281517f88ace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04803",
    "kind": "arxiv",
    "version": 1
  }
}