Pith Number

pith:KXNSZUSE

pith:2010:KXNSZUSEL2MMA3RYMZRJINY245

not attested not anchored not stored refs pending

Remarks on the ill-posedness of the Prandtl equation

David Gerard-Varet, Toan Nguyen

arxiv:1008.0532 v1 · 2010-08-03 · 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{KXNSZUSEL2MMA3RYMZRJINY245}

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	2026-05-18T04:42:42.802555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55db2cd2445e98c06e38666294371ae77dff056c7c566a1a039405524d667f7c

Aliases

arxiv: 1008.0532 · arxiv_version: 1008.0532v1 · doi: 10.48550/arxiv.1008.0532 · pith_short_12: KXNSZUSEL2MM · pith_short_16: KXNSZUSEL2MMA3RY · pith_short_8: KXNSZUSE

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/KXNSZUSEL2MMA3RYMZRJINY245 \
  | 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: 55db2cd2445e98c06e38666294371ae77dff056c7c566a1a039405524d667f7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c21cce687d5e71126a3c003948e908b945a41aeb8ef8131c792d804b37e6ad95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-03T12:36:38Z",
    "title_canon_sha256": "0fc22c7d94cb60e691a01669fee3e66da1e813966cfaf6f9c31d88c2ab1b65fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0532",
    "kind": "arxiv",
    "version": 1
  }
}