Pith Number

pith:K4LETEST

pith:1994:K4LETESTVCOKVLPYSL7ZQ6UOT2

not attested not anchored not stored refs pending

Extremal length estimates and product regions in Teichm\"uller space

Yair Minsky

arxiv:math/9407222 v1 · 1994-07-05 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4LETESTVCOKVLPYSL7ZQ6UOT2}

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	2026-05-18T01:05:51.199998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5716499253a89caaadf892ff987a8e9e8bb4f431f3b907cad694f0d6667657a1

Aliases

arxiv: math/9407222 · arxiv_version: math/9407222v1 · doi: 10.48550/arxiv.math/9407222 · pith_short_12: K4LETESTVCOK · pith_short_16: K4LETESTVCOKVLPY · pith_short_8: K4LETEST

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/K4LETESTVCOKVLPYSL7ZQ6UOT2 \
  | 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: 5716499253a89caaadf892ff987a8e9e8bb4f431f3b907cad694f0d6667657a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376f91c0a18110d4d80c6662163984486b4760e3353a2c5aa45880ca3c6101cb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1994-07-05T00:00:00Z",
    "title_canon_sha256": "7d4c077b000c715c898b640ed81b73da86a4401fba4df357c4ba0725c7f8a37e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9407222",
    "kind": "arxiv",
    "version": 1
  }
}