Pith Number

pith:2PMXPQG3

pith:2011:2PMXPQG3UCGIZDU33OF3BNDEUG

not attested not anchored not stored refs pending

An improved Riemann Mapping Theorem and complexity in potential theory

Steven R. Bell

arxiv:1110.0770 v1 · 2011-10-04 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PMXPQG3UCGIZDU33OF3BNDEUG}

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	2026-05-18T02:00:18.048032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d977c0dba08c8c8e9bdb8bb0b464a1b4431313a3a0dfa394eb546b217b3a21

Aliases

arxiv: 1110.0770 · arxiv_version: 1110.0770v1 · doi: 10.48550/arxiv.1110.0770 · pith_short_12: 2PMXPQG3UCGI · pith_short_16: 2PMXPQG3UCGIZDU3 · pith_short_8: 2PMXPQG3

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/2PMXPQG3UCGIZDU33OF3BNDEUG \
  | 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: d3d977c0dba08c8c8e9bdb8bb0b464a1b4431313a3a0dfa394eb546b217b3a21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de654c29657e9a68a8d2ebd51730004135443525cd114c58f3aad7acd74ec2d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-10-04T17:57:07Z",
    "title_canon_sha256": "974907af005bb76eeec4f0018ad906766e53ff9adfe0c2c1333755248bf2b1a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0770",
    "kind": "arxiv",
    "version": 1
  }
}