Pith Number

pith:ROSXCJMF

pith:2010:ROSXCJMFY5CT2EQSHX2RNRAAY5

not attested not anchored not stored refs pending

On the analyticity and Gevrey class regularity up to the boundary for the Euler Equations

Igor Kukavica, Vlad Vicol

arxiv:1007.2012 v1 · 2010-07-13 · 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{ROSXCJMFY5CT2EQSHX2RNRAAY5}

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	2026-05-18T02:06:22.755456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ba5712585c7453d12123df516c400c7675bf13ae648a939b2d5f5116b88a3ac

Aliases

arxiv: 1007.2012 · arxiv_version: 1007.2012v1 · doi: 10.48550/arxiv.1007.2012 · pith_short_12: ROSXCJMFY5CT · pith_short_16: ROSXCJMFY5CT2EQS · pith_short_8: ROSXCJMF

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/ROSXCJMFY5CT2EQSHX2RNRAAY5 \
  | 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: 8ba5712585c7453d12123df516c400c7675bf13ae648a939b2d5f5116b88a3ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "131a720fd180dd78c6c832f933bc2604fa3a2310650e14b2df6fe10b22902388",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-07-13T00:16:33Z",
    "title_canon_sha256": "e8b28f49ccdcd5f8b19f670dd98f5d1e0b1a25030908cb82f0612a2ee8783e05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2012",
    "kind": "arxiv",
    "version": 1
  }
}