Pith Number

pith:6JMZ2PQV

pith:2019:6JMZ2PQV6EDDLV5OZWE4AYWYQB

not attested not anchored not stored refs pending

Letter: Modified normalized Rortex/vortex identification method

Chaoqun Liu, Jianming Liu

arxiv:1905.03655 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{6JMZ2PQV6EDDLV5OZWE4AYWYQB}

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	2026-05-17T23:39:43.741410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2599d3e15f10635d7aecd89c062d880517f052d423351a4e70151d0fff0f34e

Aliases

arxiv: 1905.03655 · arxiv_version: 1905.03655v1 · doi: 10.48550/arxiv.1905.03655 · pith_short_12: 6JMZ2PQV6EDD · pith_short_16: 6JMZ2PQV6EDDLV5O · pith_short_8: 6JMZ2PQV

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/6JMZ2PQV6EDDLV5OZWE4AYWYQB \
  | 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: f2599d3e15f10635d7aecd89c062d880517f052d423351a4e70151d0fff0f34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06a9acaf1d6e336ff4730b85d723102d1ecad5259077ef7573abec35e42d1548",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2019-05-08T17:47:27Z",
    "title_canon_sha256": "8ca899e6ac18cf952684f1bcf4326aaf800e75ab6e28bb6f0fc46a985ab14d88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03655",
    "kind": "arxiv",
    "version": 1
  }
}