Pith Number

pith:LYTE6ZZ2

pith:2021:LYTE6ZZ2C2DNRF2XFPT2R34IY2

not attested not anchored not stored refs pending

KAM theory for active scalar equations

Nader Masmoudi, Taoufik Hmidi, Zineb Hassainia

arxiv:2110.08615 v2 · 2021-10-16 · 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{LYTE6ZZ2C2DNRF2XFPT2R34IY2}

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	2026-07-05T03:32:23.488611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e264f673a1686d897572be7a8ef88c6a54f91e696f951c9bb2b9f73569db2cc

Aliases

arxiv: 2110.08615 · arxiv_version: 2110.08615v2 · doi: 10.48550/arxiv.2110.08615 · pith_short_12: LYTE6ZZ2C2DN · pith_short_16: LYTE6ZZ2C2DNRF2X · pith_short_8: LYTE6ZZ2

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/LYTE6ZZ2C2DNRF2XFPT2R34IY2 \
  | 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: 5e264f673a1686d897572be7a8ef88c6a54f91e696f951c9bb2b9f73569db2cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c5eaa9d163321ecc16facb8f6c8ce75acb3bfea2d07df5e5b3d15229a69910",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-10-16T17:02:59Z",
    "title_canon_sha256": "46c38f088cc2b48f336dac425e5727d7322309633156121a4d10ba28b7a699ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.08615",
    "kind": "arxiv",
    "version": 2
  }
}