Pith Number

pith:T2NCJ6EU

pith:2015:T2NCJ6EULNO5JKXB7OGMWJQVKE

not attested not anchored not stored refs pending

On the Liouville theorem for weak Beltrami flows

Dongho Chae, J\"org Wolf

arxiv:1506.04361 v2 · 2015-06-14 · 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{T2NCJ6EULNO5JKXB7OGMWJQVKE}

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	2026-05-18T01:02:45.842979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9a24f8945b5dd4aae1fb8ccb2615510cd5d8dac6743bf15b71a0520d68a49c

Aliases

arxiv: 1506.04361 · arxiv_version: 1506.04361v2 · doi: 10.48550/arxiv.1506.04361 · pith_short_12: T2NCJ6EULNO5 · pith_short_16: T2NCJ6EULNO5JKXB · pith_short_8: T2NCJ6EU

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/T2NCJ6EULNO5JKXB7OGMWJQVKE \
  | 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: 9e9a24f8945b5dd4aae1fb8ccb2615510cd5d8dac6743bf15b71a0520d68a49c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "056147d6b875525c08b66be21209e6008372e5ab0af2558f327d7f43ce4fd6e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-14T08:49:04Z",
    "title_canon_sha256": "845b1cd5acb4b9d6283f5311a0199391538d80bfba6b9374971017857d7990ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04361",
    "kind": "arxiv",
    "version": 2
  }
}