Pith Number

pith:VGFN72MH

pith:2019:VGFN72MHLEQXL7JQENKDIHKU5H

not attested not anchored not stored refs pending

A Schwarz-Pick lemma for minimal maps

Andreas Savas-Halilaj

arxiv:1904.00487 v1 · 2019-03-31 · 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{VGFN72MHLEQXL7JQENKDIHKU5H}

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	2026-05-17T23:49:48.297968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a98adfe987592175fd302354341d54e9fe58c26d67a8b17464337bbde89b1592

Aliases

arxiv: 1904.00487 · arxiv_version: 1904.00487v1 · doi: 10.48550/arxiv.1904.00487 · pith_short_12: VGFN72MHLEQX · pith_short_16: VGFN72MHLEQXL7JQ · pith_short_8: VGFN72MH

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/VGFN72MHLEQXL7JQENKDIHKU5H \
  | 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: a98adfe987592175fd302354341d54e9fe58c26d67a8b17464337bbde89b1592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a1b99ecce831d10cde8b8987a076e97d27b5579ecf0e50daa6b96ccac3714a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-31T21:26:05Z",
    "title_canon_sha256": "1637628fc9cc521e110aee08dd5b504312e7946efcc6c78380ca3dbbd17064fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00487",
    "kind": "arxiv",
    "version": 1
  }
}