Pith Number

pith:XN4XHFFJ

pith:2012:XN4XHFFJPLU4K2WVWVCUM6AQVN

not attested not anchored not stored refs pending

$n$-harmonic coordinates and the regularity of conformal mappings

Mikko Salo, Tony Liimatainen

arxiv:1209.1285 v2 · 2012-09-06 · math.DG · 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{XN4XHFFJPLU4K2WVWVCUM6AQVN}

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	2026-05-18T01:12:59.869493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb797394a97ae9c56ad5b545467810ab7d7ff2555b5046520a248856bdd983e6

Aliases

arxiv: 1209.1285 · arxiv_version: 1209.1285v2 · doi: 10.48550/arxiv.1209.1285 · pith_short_12: XN4XHFFJPLU4 · pith_short_16: XN4XHFFJPLU4K2WV · pith_short_8: XN4XHFFJ

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/XN4XHFFJPLU4K2WVWVCUM6AQVN \
  | 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: bb797394a97ae9c56ad5b545467810ab7d7ff2555b5046520a248856bdd983e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6801aafd82d7f55a7e246bd81d9df918db60a211750eff3d4a09172816c6eef",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-06T14:10:57Z",
    "title_canon_sha256": "7b17011b1b229a5de91206941411e84624233cbd6d645f8a6b1a49ac5ecfee34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1285",
    "kind": "arxiv",
    "version": 2
  }
}