Pith Number

pith:HT7DLZVF

pith:2025:HT7DLZVFJU33LWGYXU2Y6OLWDH

not attested not anchored not stored refs pending

Hele-Shaw limit of chemotaxis-Navier-Stokes flows

Leyun Wu, Ling-Yun Shou, Qingyou He

arxiv:2506.11757 v2 · 2025-06-13 · 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{HT7DLZVFJU33LWGYXU2Y6OLWDH}

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	2026-06-09T01:05:07.178050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfe35e6a54d37b5d8d8bd358f397619cce039e90e370c84cf030f374962fbfb

Aliases

arxiv: 2506.11757 · arxiv_version: 2506.11757v2 · doi: 10.48550/arxiv.2506.11757 · pith_short_12: HT7DLZVFJU33 · pith_short_16: HT7DLZVFJU33LWGY · pith_short_8: HT7DLZVF

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/HT7DLZVFJU33LWGYXU2Y6OLWDH \
  | 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: 3cfe35e6a54d37b5d8d8bd358f397619cce039e90e370c84cf030f374962fbfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8425e63f3ef83279598f800fba3833c6461e13de74c9a70c878965b878ef297f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-13T13:12:33Z",
    "title_canon_sha256": "036d647f89c08761f528932966d2d5ac460478fa9863e8b7e9a10644fe6db1a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11757",
    "kind": "arxiv",
    "version": 2
  }
}