Pith Number

pith:R3TQ7L7V

pith:2010:R3TQ7L7VBU6Y4N3TWQ3HCUEZYB

not attested not anchored not stored refs pending

Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations

Albert Clop, Daniel Faraco, Jarmo J\"a\"askel\"ainen, Kari Astala, L\'aszl\'o Sz\'ekelyhidi Jr

arxiv:1012.2827 v1 · 2010-12-13 · math.AP · 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{R3TQ7L7VBU6Y4N3TWQ3HCUEZYB}

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	2026-05-18T04:33:27.666024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ee70faff50d3d8e3773b436715099c053b570019f19934820e302a087bbe1c4

Aliases

arxiv: 1012.2827 · arxiv_version: 1012.2827v1 · doi: 10.48550/arxiv.1012.2827 · pith_short_12: R3TQ7L7VBU6Y · pith_short_16: R3TQ7L7VBU6Y4N3T · pith_short_8: R3TQ7L7V

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/R3TQ7L7VBU6Y4N3TWQ3HCUEZYB \
  | 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: 8ee70faff50d3d8e3773b436715099c053b570019f19934820e302a087bbe1c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50d3f8d4f97a1eb3b4e0f69105ded8d6a6cea30e883fceae0ec16ce2d160b1a7",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-13T18:36:59Z",
    "title_canon_sha256": "251ee43514798edf4b8b4a3d407c2a664265d4e98575a8b0c95df1458d1cd6c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2827",
    "kind": "arxiv",
    "version": 1
  }
}