Pith Number

pith:3GMCJMVH

pith:2022:3GMCJMVH3UVDHJUTQDG36X7K7L

not attested not anchored not stored refs pending

Asymptotic self-similar blow-up profile for three-dimensional axisymmetric Euler equations using neural networks

Ching-Yao Lai, Javier G\'omez-Serrano, Tristan Buckmaster, Yongji Wang

arxiv:2201.06780 v3 · 2022-01-18 · math.AP · cs.LG · 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{3GMCJMVH3UVDHJUTQDG36X7K7L}

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	2026-07-05T06:07:29.578824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d99824b2a7dd2a33a69380cdbf5feafaeedfa62554eb2ddd29066a26970d6e1d

Aliases

arxiv: 2201.06780 · arxiv_version: 2201.06780v3 · doi: 10.48550/arxiv.2201.06780 · pith_short_12: 3GMCJMVH3UVD · pith_short_16: 3GMCJMVH3UVDHJUT · pith_short_8: 3GMCJMVH

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/3GMCJMVH3UVDHJUTQDG36X7K7L \
  | 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: d99824b2a7dd2a33a69380cdbf5feafaeedfa62554eb2ddd29066a26970d6e1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cc81d9b83dff77b583cef506930fd6d8b107c301ec3c98c0d1d37bc2b57cb5f",
    "cross_cats_sorted": [
      "cs.LG",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-01-18T07:21:31Z",
    "title_canon_sha256": "0c67908ef63fd5fff3cd6c537ae65f2689830f99e98f99a14b2794a2943a96a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.06780",
    "kind": "arxiv",
    "version": 3
  }
}