Pith Number

pith:OJZDVW7A

pith:2020:OJZDVW7A5JB3RX3Z33MADGL4AN

not attested not anchored not stored refs pending

Norm estimates of the partial derivatives for harmonic and harmonic elliptic mappings

SH. Chen, S. Ponnusamy, X. Wang

arxiv:2008.11553 v1 · 2020-08-26 · 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{OJZDVW7A5JB3RX3Z33MADGL4AN}

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	2026-07-05T01:30:45.862340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72723adbe0ea43b8df79ded801997c0341be88d9f2af20b9b1ad3d1cba409ed2

Aliases

arxiv: 2008.11553 · arxiv_version: 2008.11553v1 · doi: 10.48550/arxiv.2008.11553 · pith_short_12: OJZDVW7A5JB3 · pith_short_16: OJZDVW7A5JB3RX3Z · pith_short_8: OJZDVW7A

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/OJZDVW7A5JB3RX3Z33MADGL4AN \
  | 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: 72723adbe0ea43b8df79ded801997c0341be88d9f2af20b9b1ad3d1cba409ed2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4039ee3bbdedd92a92224b0ac15bc405a6a2217a2c1a6e9c3c8fcd26da1c5ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2020-08-26T13:34:47Z",
    "title_canon_sha256": "409f7c73854429867c6b5fb3e636712dd169343651373d9a64d7e6a88c2342e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.11553",
    "kind": "arxiv",
    "version": 1
  }
}