Pith. sign in
Pith Number

pith:5EGKAWBA

pith:2025:5EGKAWBAV4EZJKQEZRD2GFXFK3
not attested not anchored not stored refs pending

Weak solutions to incompressible heat-conducting motions with large flux

Joanna Renc{\l}awowicz, Wojciech M. Zaj\k{a}czkowski

arxiv:2506.22155 v1 · 2025-06-27 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5EGKAWBAV4EZJKQEZRD2GFXFK3}

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 2026-07-05T11:28:22.767660Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e90ca05820af0994aa04cc47a316e556cb2a19a9234f6db76b2992562bf78f1a

Aliases

arxiv: 2506.22155 · arxiv_version: 2506.22155v1 · doi: 10.48550/arxiv.2506.22155 · pith_short_12: 5EGKAWBAV4EZ · pith_short_16: 5EGKAWBAV4EZJKQE · pith_short_8: 5EGKAWBA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5EGKAWBAV4EZJKQEZRD2GFXFK3 \
  | 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: e90ca05820af0994aa04cc47a316e556cb2a19a9234f6db76b2992562bf78f1a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3866ade895096cf911b9e238dfb91215cb6358919607811d833f7ddc518f2912",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-27T12:08:39Z",
    "title_canon_sha256": "7bd0318e998ce6a22e46e3602f090e24801fbf9967fdbb0b82f27428e52ee0b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22155",
    "kind": "arxiv",
    "version": 1
  }
}