Pith Number

pith:FBE3Y7EY

pith:2011:FBE3Y7EYPPQ5FH3HYKHFVPI32R

not attested not anchored not stored refs pending

Local properties of quasihyperbolic and freely quasiconformal mappings

Matti Vuorinen, Xiantao Wang, Yaxiang Li

arxiv:1110.6269 v2 · 2011-10-28 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBE3Y7EYPPQ5FH3HYKHFVPI32R}

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	2026-05-18T04:02:27.015704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2849bc7c987be1d29f67c28e5abd1bd44cddf973a3e2a3c4f740514d1d7c79d1

Aliases

arxiv: 1110.6269 · arxiv_version: 1110.6269v2 · doi: 10.48550/arxiv.1110.6269 · pith_short_12: FBE3Y7EYPPQ5 · pith_short_16: FBE3Y7EYPPQ5FH3H · pith_short_8: FBE3Y7EY

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/FBE3Y7EYPPQ5FH3HYKHFVPI32R \
  | 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: 2849bc7c987be1d29f67c28e5abd1bd44cddf973a3e2a3c4f740514d1d7c79d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7f9621b8b06320c52013a3ba9dece04705f1d438e9aa27771a2f3c81197801b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-10-28T07:29:16Z",
    "title_canon_sha256": "2a1fee1db45a2bd1ed31ed6a4df12e82fec14d559c9140b8a65abed40c128b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6269",
    "kind": "arxiv",
    "version": 2
  }
}