Pith Number

pith:FRF3BB3U

pith:2021:FRF3BB3UY7R5CQPBJ2HT6DRWQB

not attested not anchored not stored refs pending

On the role of continuous symmetries in the solution of the 3D Euler fluid equations and related models

Miguel D. Bustamante

arxiv:2109.07398 v2 · 2021-09-15 · physics.flu-dyn · 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{FRF3BB3UY7R5CQPBJ2HT6DRWQB}

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	2026-07-05T03:50:50.918283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4bb08774c7e3d141e14e8f3f0e368058008973d3a00a6d22b263d55183c047

Aliases

arxiv: 2109.07398 · arxiv_version: 2109.07398v2 · doi: 10.48550/arxiv.2109.07398 · pith_short_12: FRF3BB3UY7R5 · pith_short_16: FRF3BB3UY7R5CQPB · pith_short_8: FRF3BB3U

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/FRF3BB3UY7R5CQPBJ2HT6DRWQB \
  | 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: 2c4bb08774c7e3d141e14e8f3f0e368058008973d3a00a6d22b263d55183c047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0b02628d1598210a6959baf6d5c680159d48d7ca3d6ce6aa50e59b95cbb9845",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-09-15T16:02:08Z",
    "title_canon_sha256": "fdff4cf865a8cf883626aac95a70b582d2516db87b5e7ac17517988dcc1c65a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.07398",
    "kind": "arxiv",
    "version": 2
  }
}