Pith Number

pith:2FO6SVFG

pith:1998:2FO6SVFG5DDE2GILBHHB2DHFCE

not attested not anchored not stored refs pending

A new variant of the Schwarz-Pick-Ahlfors lemma

Robert Osserman

arxiv:math/9803158 v1 · 1998-03-10 · 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{2FO6SVFG5DDE2GILBHHB2DHFCE}

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	2026-05-18T01:05:34.224268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d15de954a6e8c64d190b09ce1d0ce5110aad49671d3d5b65f7e19d5bcd20cf90

Aliases

arxiv: math/9803158 · arxiv_version: math/9803158v1 · doi: 10.48550/arxiv.math/9803158 · pith_short_12: 2FO6SVFG5DDE · pith_short_16: 2FO6SVFG5DDE2GIL · pith_short_8: 2FO6SVFG

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/2FO6SVFG5DDE2GILBHHB2DHFCE \
  | 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: d15de954a6e8c64d190b09ce1d0ce5110aad49671d3d5b65f7e19d5bcd20cf90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24bfab604749e7002fda86973b59a194c56738fe79db51e940ad27ed3097e838",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "1998-03-10T00:00:00Z",
    "title_canon_sha256": "49fede3fff84a3f4d550e9b1585ef97502814362e836b2560de4b0d553b7d29b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9803158",
    "kind": "arxiv",
    "version": 1
  }
}