Pith Number

pith:BM66D5X7

pith:2022:BM66D5X7YEBTHTIM6XATQ23OL6

not attested not anchored not stored refs pending

stochastic Leray-{\alpha} model of Euler equations

Yong Chen, Yuanyuan Gong

arxiv:2211.00556 v2 · 2022-11-01 · 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{BM66D5X7YEBTHTIM6XATQ23OL6}

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	2026-07-05T06:07:33.973429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b3de1f6ffc10333cd0cf5c1386b6e5f93e9d8fb18288ead1304e65bda4f7a97

Aliases

arxiv: 2211.00556 · arxiv_version: 2211.00556v2 · doi: 10.48550/arxiv.2211.00556 · pith_short_12: BM66D5X7YEBT · pith_short_16: BM66D5X7YEBTHTIM · pith_short_8: BM66D5X7

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/BM66D5X7YEBTHTIM6XATQ23OL6 \
  | 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: 0b3de1f6ffc10333cd0cf5c1386b6e5f93e9d8fb18288ead1304e65bda4f7a97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33f469368264c2c565b57a3c7a6d1ed8ad467367f7d880ba7408341f26400c0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-11-01T16:07:30Z",
    "title_canon_sha256": "ffba6f93ba0ba77302d6f0483633708429fe3d6d1442bd95b76e8840bac65820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.00556",
    "kind": "arxiv",
    "version": 2
  }
}