Pith Number

pith:M4V5C55D

pith:2016:M4V5C55DUJIN6YK25KUN5XRH3B

not attested not anchored not stored refs pending

Exponential self-similar mixing by incompressible flows

Anna L. Mazzucato, Gianluca Crippa, Giovanni Alberti

arxiv:1605.02090 v2 · 2016-05-06 · 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{M4V5C55DUJIN6YK25KUN5XRH3B}

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	2026-05-18T00:05:34.755517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

672bd177a3a250df615aeaa8dede27d8737982b7899c1f2fda2f076df169d7dd

Aliases

arxiv: 1605.02090 · arxiv_version: 1605.02090v2 · doi: 10.48550/arxiv.1605.02090 · pith_short_12: M4V5C55DUJIN · pith_short_16: M4V5C55DUJIN6YK2 · pith_short_8: M4V5C55D

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/M4V5C55DUJIN6YK25KUN5XRH3B \
  | 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: 672bd177a3a250df615aeaa8dede27d8737982b7899c1f2fda2f076df169d7dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0b0e335f57c8590a18b764785e5836418647b3e90f4f312c3bbfd05dccd1d08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-06T20:21:38Z",
    "title_canon_sha256": "af71d669be6418076cee5691ce713deb264a037b9579fec7646908efcea86692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02090",
    "kind": "arxiv",
    "version": 2
  }
}