Pith Number

pith:INRT7LET

pith:2019:INRT7LET4E4O3ZIS54PFXIYVI7

not attested not anchored not stored refs pending

Letter: Mathematical Foundation of Turbulence Generation-Symmetric to Asymmetric Liutex/Rortex

Chaoqun Liu, Jian-ming Liu, Sita Charkrit, Yi-sheng Gao, Yue Deng

arxiv:1905.03228 v1 · 2019-05-08 · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INRT7LET4E4O3ZIS54PFXIYVI7}

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	2026-05-17T23:46:42.497185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43633fac93e138ede512ef1e5ba31547dbc25764c3ccb4da8e41cc3b5a20cdcf

Aliases

arxiv: 1905.03228 · arxiv_version: 1905.03228v1 · doi: 10.48550/arxiv.1905.03228 · pith_short_12: INRT7LET4E4O · pith_short_16: INRT7LET4E4O3ZIS · pith_short_8: INRT7LET

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/INRT7LET4E4O3ZIS54PFXIYVI7 \
  | 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: 43633fac93e138ede512ef1e5ba31547dbc25764c3ccb4da8e41cc3b5a20cdcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d2db1ffd03efdc947a1aa26b58675ec082675eb27b902f93875c1f526982ec2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2019-05-08T17:32:28Z",
    "title_canon_sha256": "4c17580b5b07088f97a16d94dda8803ee2c2491d5cb9608e0c4142c741becae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03228",
    "kind": "arxiv",
    "version": 1
  }
}