Pith Number

pith:YNEOQZSG

pith:2019:YNEOQZSGD5SPKEZUOHYI43ZIAC

not attested not anchored not stored refs pending

Space regularity for evolution operators modeled on H\"ormander vector fields with time dependent measurable coefficients

Marco Bramanti

arxiv:1903.07327 v1 · 2019-03-18 · 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{YNEOQZSGD5SPKEZUOHYI43ZIAC}

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	2026-05-17T23:51:01.695647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c348e866461f64f5133471f08e6f28009e461c00ca13be41e353463b925322f0

Aliases

arxiv: 1903.07327 · arxiv_version: 1903.07327v1 · doi: 10.48550/arxiv.1903.07327 · pith_short_12: YNEOQZSGD5SP · pith_short_16: YNEOQZSGD5SPKEZU · pith_short_8: YNEOQZSG

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/YNEOQZSGD5SPKEZUOHYI43ZIAC \
  | 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: c348e866461f64f5133471f08e6f28009e461c00ca13be41e353463b925322f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ee578473a8a946e084b6b2a0ec3c8312b66ca5002b03ac57b8686196d5b11ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-18T09:35:50Z",
    "title_canon_sha256": "dfec1d06be8926071780709cb18fc6a52f94897df2935d586162d87c88dfbb9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07327",
    "kind": "arxiv",
    "version": 1
  }
}