Pith Number

pith:H4YQNET4

pith:2013:H4YQNET4XLYUOHDA64ZXJVQMTV

not attested not anchored not stored refs pending

A posteriori estimates for Euler and Navier-Stokes equations

Carlo Morosi (Politecnico di Milano), INFN), Livio Pizzocchero (Univ. di Milano, Mario Pernici (INFN)

arxiv:1310.5642 v1 · 2013-10-21 · 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{H4YQNET4XLYUOHDA64ZXJVQMTV}

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	2026-05-18T02:33:25.580581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f3106927cbaf1471c60f73374d60c9d4109f005482333e0485a18f7e55901e2

Aliases

arxiv: 1310.5642 · arxiv_version: 1310.5642v1 · doi: 10.48550/arxiv.1310.5642 · pith_short_12: H4YQNET4XLYU · pith_short_16: H4YQNET4XLYUOHDA · pith_short_8: H4YQNET4

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/H4YQNET4XLYUOHDA64ZXJVQMTV \
  | 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: 3f3106927cbaf1471c60f73374d60c9d4109f005482333e0485a18f7e55901e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56071bfb2dba8f873b189bcda8805de86f9ff022a71106abf1a84c522d847264",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-21T16:57:24Z",
    "title_canon_sha256": "ca436122de84c5d0db284f7b253cbe9027717e295035a1930fa70040ec91fe22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5642",
    "kind": "arxiv",
    "version": 1
  }
}