Pith Number

pith:5DCEHZC2

pith:2025:5DCEHZC2QKV7COXRSPFAF256G2

not attested not anchored not stored refs pending

Mixing for generic passive scalars by incompressible flows

Ruo Li, Zeyu Jin

arxiv:2506.06706 v1 · 2025-06-07 · 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{5DCEHZC2QKV7COXRSPFAF256G2}

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	2026-07-05T11:17:54.380925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8c443e45a82abf13af193ca02ebbe36948b24f88fb2170ec19c1710aefaf1b2

Aliases

arxiv: 2506.06706 · arxiv_version: 2506.06706v1 · doi: 10.48550/arxiv.2506.06706 · pith_short_12: 5DCEHZC2QKV7 · pith_short_16: 5DCEHZC2QKV7COXR · pith_short_8: 5DCEHZC2

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/5DCEHZC2QKV7COXRSPFAF256G2 \
  | 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: e8c443e45a82abf13af193ca02ebbe36948b24f88fb2170ec19c1710aefaf1b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ceb6dee1a915d9dfd37be8cad4b65304a3e822b912edf74baf0ed15d7473d22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-07T08:04:40Z",
    "title_canon_sha256": "a3d8b9f9109f8df7b67d5535fe9f365dcb005bb0987194882d1b3f5b0139dc31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06706",
    "kind": "arxiv",
    "version": 1
  }
}