Pith Number

pith:TDC57JYT

pith:2010:TDC57JYTIFK6HNTYRFXPYZAYV3

not attested not anchored not stored refs pending

On reduced Beltrami equations and linear families of quasiregular mappings

Jarmo J\"a\"askel\"ainen

arxiv:1009.2614 v2 · 2010-09-14 · math.CV · 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{TDC57JYTIFK6HNTYRFXPYZAYV3}

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	2026-05-18T03:10:46.166036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98c5dfa7134155e3b678896efc6418aedee8f5db14b0bef83ea33e579a809b28

Aliases

arxiv: 1009.2614 · arxiv_version: 1009.2614v2 · doi: 10.48550/arxiv.1009.2614 · pith_short_12: TDC57JYTIFK6 · pith_short_16: TDC57JYTIFK6HNTY · pith_short_8: TDC57JYT

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/TDC57JYTIFK6HNTYRFXPYZAYV3 \
  | 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: 98c5dfa7134155e3b678896efc6418aedee8f5db14b0bef83ea33e579a809b28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52cf38317cea7866034acf6e48fd6a4ac5be6f67f6a325e42a6ff2b26d376b39",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-09-14T10:17:21Z",
    "title_canon_sha256": "e638f6436479ea2d05d4e8933f0e8d8f464e5537b4dfe5fd96568b32855e5855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2614",
    "kind": "arxiv",
    "version": 2
  }
}