Pith Number

pith:UL4KS4BR

pith:2010:UL4KS4BRRH3KATBJDKXDESNVDX

not attested not anchored not stored refs pending

Turning waves and breakdown for incompressible flows

Angel Castro, Charles Fefferman, Diego Cordoba, Francisco Gancedo, Maria Lopez-Fernandez

arxiv:1011.5996 v1 · 2010-11-27 · 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{UL4KS4BRRH3KATBJDKXDESNVDX}

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	2026-05-18T02:04:38.275540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f8a9703189f6a04c291aae3249b51dd1b6651296bfb2969960557d35d28877

Aliases

arxiv: 1011.5996 · arxiv_version: 1011.5996v1 · doi: 10.48550/arxiv.1011.5996 · pith_short_12: UL4KS4BRRH3K · pith_short_16: UL4KS4BRRH3KATBJ · pith_short_8: UL4KS4BR

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/UL4KS4BRRH3KATBJDKXDESNVDX \
  | 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: a2f8a9703189f6a04c291aae3249b51dd1b6651296bfb2969960557d35d28877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be81bf614dccd5be4f579a2feff08b3719061d8c2ef2648fd8e48a964b43895d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-27T19:57:25Z",
    "title_canon_sha256": "abdb5321935f459a0c91fda87ea4ee8f52f45724dc5313dfe6215713f46f3539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5996",
    "kind": "arxiv",
    "version": 1
  }
}