Pith Number

pith:T6RQZC6A

pith:2009:T6RQZC6AYVFQQCD5IBRVATGWFS

not attested not anchored not stored refs pending

On the ill-posedness of the Prandtl equation

David Gerard-Varet, Emmanuel Dormy

arxiv:0904.0434 v2 · 2009-04-02 · 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{T6RQZC6AYVFQQCD5IBRVATGWFS}

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	2026-05-18T02:14:07.892225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fa30c8bc0c54b08087d4063504cd62ca8e79669623088ddcac2aae2af7d736c

Aliases

arxiv: 0904.0434 · arxiv_version: 0904.0434v2 · doi: 10.48550/arxiv.0904.0434 · pith_short_12: T6RQZC6AYVFQ · pith_short_16: T6RQZC6AYVFQQCD5 · pith_short_8: T6RQZC6A

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/T6RQZC6AYVFQQCD5IBRVATGWFS \
  | 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: 9fa30c8bc0c54b08087d4063504cd62ca8e79669623088ddcac2aae2af7d736c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10663dfa1f12960873a6ee8b9e4bfa3f87975c6dcda176107cb7e67d9e5e7402",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-04-02T17:58:25Z",
    "title_canon_sha256": "f69d02abc73754245e6a2863432e3d477544f6d389ef04630dca76e7ceb4cc4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0434",
    "kind": "arxiv",
    "version": 2
  }
}