Pith Number

pith:2UXFDSEK

pith:2016:2UXFDSEK2LAG5M4OTTBMEUOYOH

not attested not anchored not stored refs pending

Beltrami equations in the plane and Sobolev regularity

Mart\'i Prats

arxiv:1606.07751 v3 · 2016-06-24 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2UXFDSEK2LAG5M4OTTBMEUOYOH}

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	2026-05-18T00:51:37.351777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d52e51c88ad2c06eb38e9cc2c251d871e3b61a0b0fb591b606b540e685d7197e

Aliases

arxiv: 1606.07751 · arxiv_version: 1606.07751v3 · doi: 10.48550/arxiv.1606.07751 · pith_short_12: 2UXFDSEK2LAG · pith_short_16: 2UXFDSEK2LAG5M4O · pith_short_8: 2UXFDSEK

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/2UXFDSEK2LAG5M4OTTBMEUOYOH \
  | 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: d52e51c88ad2c06eb38e9cc2c251d871e3b61a0b0fb591b606b540e685d7197e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "760a660527e428376b671b8a37207c9b1d353e8cdd20c41aa7946f3b7dcc1c94",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-24T16:34:26Z",
    "title_canon_sha256": "f69902e409117346d4bb01f90b7902ac0c5b5643f02647d08dfee6bf3eaec756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07751",
    "kind": "arxiv",
    "version": 3
  }
}