Pith Number

pith:7FRQWBHP

pith:2011:7FRQWBHP3VP62U2VWINZDE4MSD

not attested not anchored not stored refs pending

Quasi-nearly subharmonic functions and quasiconformal mappings

Pekka Koskela, Vesna Manojlovi\'c

arxiv:1103.1030 v1 · 2011-03-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FRQWBHP3VP62U2VWINZDE4MSD}

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	2026-05-18T04:27:15.983549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9630b04efdd5fed5355b21b91938c90f5f8ad3f22d79fb9b5da41e1c495af90

Aliases

arxiv: 1103.1030 · arxiv_version: 1103.1030v1 · doi: 10.48550/arxiv.1103.1030 · pith_short_12: 7FRQWBHP3VP6 · pith_short_16: 7FRQWBHP3VP62U2V · pith_short_8: 7FRQWBHP

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/7FRQWBHP3VP62U2VWINZDE4MSD \
  | 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: f9630b04efdd5fed5355b21b91938c90f5f8ad3f22d79fb9b5da41e1c495af90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de922453c740b3823a6a25d0b951fdccae7e803c8b11fa98f548b0cff8e7f153",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-05T09:29:07Z",
    "title_canon_sha256": "c08a70312891e98c0726ad1fe6ba471356b80b4efcb4ad3729eb537efd2a4e20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1030",
    "kind": "arxiv",
    "version": 1
  }
}