Pith Number

pith:D64ATRRN

pith:2010:D64ATRRNOUYF5GZUYBUCGQYOVB

not attested not anchored not stored refs pending

Semigroups Generated by Elliptic Operators in Non-Divergence Form on $C_0(/omega)$

Reiner Sch\"atzle, Wolfgang Arendt

arxiv:1010.1703 v1 · 2010-10-08 · 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{D64ATRRNOUYF5GZUYBUCGQYOVB}

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	2026-05-18T04:39:39.826259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fb809c62d75305e9b34c06823430ea86224f450d68a646ab5d9c0ed531ca9e7

Aliases

arxiv: 1010.1703 · arxiv_version: 1010.1703v1 · doi: 10.48550/arxiv.1010.1703 · pith_short_12: D64ATRRNOUYF · pith_short_16: D64ATRRNOUYF5GZU · pith_short_8: D64ATRRN

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/D64ATRRNOUYF5GZUYBUCGQYOVB \
  | 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: 1fb809c62d75305e9b34c06823430ea86224f450d68a646ab5d9c0ed531ca9e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d7f2675988b1967b937541ad849ee69df47f372909e6a3b3b808037b7136c70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-08T14:30:08Z",
    "title_canon_sha256": "fc6fe184ebb7f90f93b954dca37d1cd221b683bf0815b75f40b3a361a7e9a36b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1703",
    "kind": "arxiv",
    "version": 1
  }
}