Pith Number

pith:5TH3ERHV

pith:2018:5TH3ERHVVYRKSYZ3LFACEDWFWA

not attested not anchored not stored refs pending

Stable solutions of symmetric systems involving hypoelliptic operators

Mostafa Fazly

arxiv:1803.02448 v1 · 2018-03-06 · math.AP · math.DG · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TH3ERHVVYRKSYZ3LFACEDWFWA}

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	2026-05-18T00:21:50.250389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eccfb244f5ae22a9633b5940220ec5b03666853607ab1741944abd8a3eb72975

Aliases

arxiv: 1803.02448 · arxiv_version: 1803.02448v1 · doi: 10.48550/arxiv.1803.02448 · pith_short_12: 5TH3ERHVVYRK · pith_short_16: 5TH3ERHVVYRKSYZ3 · pith_short_8: 5TH3ERHV

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/5TH3ERHVVYRKSYZ3LFACEDWFWA \
  | 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: eccfb244f5ae22a9633b5940220ec5b03666853607ab1741944abd8a3eb72975

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41939c80ef07fa887cf3b42aeaa4d816068fcfd984134704f575d35b2facf606",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-06T22:23:28Z",
    "title_canon_sha256": "1acc4b03efdcd14dabe5504c5b948f37db43147e0d32e63b361538f27d050aa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02448",
    "kind": "arxiv",
    "version": 1
  }
}