Pith Number

pith:PNWRTM44

pith:2010:PNWRTM44WG5RHIF44UVAGC3MBU

not attested not anchored not stored refs pending

Loss of derivatives for systems of complex vector fields and sums of squares

Giuseppe Zampieri, Stefano Pinton, Tran Vu Khanh

arxiv:1009.0486 v1 · 2010-09-02 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNWRTM44WG5RHIF44UVAGC3MBU}

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	2026-05-18T04:41:26.526817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b6d19b39cb1bb13a0bce52a030b6c0d2d57f33d1085df16b178c349e0e535eb

Aliases

arxiv: 1009.0486 · arxiv_version: 1009.0486v1 · doi: 10.48550/arxiv.1009.0486 · pith_short_12: PNWRTM44WG5R · pith_short_16: PNWRTM44WG5RHIF4 · pith_short_8: PNWRTM44

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/PNWRTM44WG5RHIF44UVAGC3MBU \
  | 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: 7b6d19b39cb1bb13a0bce52a030b6c0d2d57f33d1085df16b178c349e0e535eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95d8de7f4787da619a0df3ab805cd7ba6e741b2547b6a2499150f8f02a31d3c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-09-02T17:46:32Z",
    "title_canon_sha256": "70ed4116a6f0a718908128f3d20b2d18462a24cce99ed28c52af5a8066dc43de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0486",
    "kind": "arxiv",
    "version": 1
  }
}