Pith Number

pith:MVNA4VXG

pith:2011:MVNA4VXGHCZNHSXMRG63E44S7E

not attested not anchored not stored refs pending

The Carath\'{e}odory and Kobayashi/Royden Metrics by Way of Dual Extremal Problems

Halsey Royden, Pit-Mann Wong, Steven G. Krantz

arxiv:1105.6109 v1 · 2011-05-30 · 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{MVNA4VXGHCZNHSXMRG63E44S7E}

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	2026-05-18T04:21:00.191112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

655a0e56e638b2d3caec89bdb27392f92a13a756c1da87b4aec9a73077a2f2af

Aliases

arxiv: 1105.6109 · arxiv_version: 1105.6109v1 · doi: 10.48550/arxiv.1105.6109 · pith_short_12: MVNA4VXGHCZN · pith_short_16: MVNA4VXGHCZNHSXM · pith_short_8: MVNA4VXG

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/MVNA4VXGHCZNHSXMRG63E44S7E \
  | 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: 655a0e56e638b2d3caec89bdb27392f92a13a756c1da87b4aec9a73077a2f2af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "005a778d04f2994ba5bd1554082e7a9d30c6bfd12f3085bb9479cc26b1f0abf4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-05-30T20:27:36Z",
    "title_canon_sha256": "471fff665efb68b8e2e709dffb3a2fa5474cfaa7ef81bb841f5731c3bd0811c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6109",
    "kind": "arxiv",
    "version": 1
  }
}