Pith Number

pith:XEICOTXW

pith:2016:XEICOTXWXUA4ZIFCDKBTOT5REY

not attested not anchored not stored refs pending

Sharp bounds for composition with quasiconformal mappings in Sobolev spaces

Marcos Oliva, Mart\'i Prats

arxiv:1612.00689 v2 · 2016-12-02 · math.CA · 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{XEICOTXWXUA4ZIFCDKBTOT5REY}

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	2026-05-18T00:50:09.188724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b910274ef6bd01cca0a21a83374fb12601124355417b417d61c56262d7127532

Aliases

arxiv: 1612.00689 · arxiv_version: 1612.00689v2 · doi: 10.48550/arxiv.1612.00689 · pith_short_12: XEICOTXWXUA4 · pith_short_16: XEICOTXWXUA4ZIFC · pith_short_8: XEICOTXW

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/XEICOTXWXUA4ZIFCDKBTOT5REY \
  | 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: b910274ef6bd01cca0a21a83374fb12601124355417b417d61c56262d7127532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b046016b844ff95a2c76a6801b0efa35cd2bf3150eec3543a7fceeaed68d852",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-02T14:35:24Z",
    "title_canon_sha256": "90e887bcee2e6dd82c7cb57f8cf091df8579eafc5ffa8e764b38b1944a08c829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00689",
    "kind": "arxiv",
    "version": 2
  }
}