Pith Number

pith:3VEVTQL4

pith:2011:3VEVTQL4W3VGFNJB27BAG5QFKN

not attested not anchored not stored refs pending

On a multi-point Schwarz-Pick lemma

Kyung Hyun Cho, Seong-A Kim, Toshiyuki Sugawa

arxiv:1102.0337 v1 · 2011-02-02 · 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{3VEVTQL4W3VGFNJB27BAG5QFKN}

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	2026-05-18T04:30:05.047571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4959c17cb6ea62b521d7c2037605534ab10bb067b853683cb6bce346bf71ef

Aliases

arxiv: 1102.0337 · arxiv_version: 1102.0337v1 · doi: 10.48550/arxiv.1102.0337 · pith_short_12: 3VEVTQL4W3VG · pith_short_16: 3VEVTQL4W3VGFNJB · pith_short_8: 3VEVTQL4

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/3VEVTQL4W3VGFNJB27BAG5QFKN \
  | 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: dd4959c17cb6ea62b521d7c2037605534ab10bb067b853683cb6bce346bf71ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec9c88cae424d4d5658fa61f51308c75226aeaa09f44f6d9c3d04a4fca6704a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-02-02T01:37:37Z",
    "title_canon_sha256": "1e9423d3b3dffa9df5da9396d278e340d529bda7481a6788b739f058b446f7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0337",
    "kind": "arxiv",
    "version": 1
  }
}