Pith Number

pith:B47S5JBT

pith:2016:B47S5JBT2AI6W2H4AYEW5ODIRY

not attested not anchored not stored refs pending

Liouville-type theorems for conformal mappings and their application

Irina I. Tsyganok, Sergey E. Stepanov

arxiv:1608.01498 v2 · 2016-08-04 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B47S5JBT2AI6W2H4AYEW5ODIRY}

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	2026-05-18T01:08:15.837202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f3f2ea433d011eb68fc06096eb8688e1b3035dd7ace9a7eff209df438a3c1dc

Aliases

arxiv: 1608.01498 · arxiv_version: 1608.01498v2 · doi: 10.48550/arxiv.1608.01498 · pith_short_12: B47S5JBT2AI6 · pith_short_16: B47S5JBT2AI6W2H4 · pith_short_8: B47S5JBT

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/B47S5JBT2AI6W2H4AYEW5ODIRY \
  | 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: 0f3f2ea433d011eb68fc06096eb8688e1b3035dd7ace9a7eff209df438a3c1dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "638449ab874f11daa4a6c79db64f3bfa442d5d395286a0b25194a84f7b94517f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-08-04T11:32:20Z",
    "title_canon_sha256": "dc0f33a18e45d028fab9c21411c87abaaa78b7f6428ce44f22961f8252d3a094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01498",
    "kind": "arxiv",
    "version": 2
  }
}