Pith Number

pith:4T4N3KDY

pith:1998:4T4N3KDYTPITXLLLECB3KESYMP

not attested not anchored not stored refs pending

Minimal stretch maps between hyperbolic surfaces

William P. Thurston

arxiv:math/9801039 v1 · 1998-01-09 · math.GT · 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{4T4N3KDYTPITXLLLECB3KESYMP}

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.

Cited by

3 papers in Pith

On 4-dimensional convex projective domains invariant by a lattice of $\mathrm{SL}_2 (\mathbb{R})$

A characterisation of $\infty$-harmonic maps in terms of $1$-currents

Counting Minimal Lagrangians Via Mirzakhani Functions

Receipt and verification

First computed	2026-07-04T14:40:24.946904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4f8dda8789bd13bad6b2083b5125863e96feb6d8263c6ab2b914982d1b2a7c7

Aliases

arxiv: math/9801039 · arxiv_version: math/9801039v1 · doi: 10.48550/arxiv.math/9801039 · pith_short_12: 4T4N3KDYTPIT · pith_short_16: 4T4N3KDYTPITXLLL · pith_short_8: 4T4N3KDY

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/4T4N3KDYTPITXLLLECB3KESYMP \
  | 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: e4f8dda8789bd13bad6b2083b5125863e96feb6d8263c6ab2b914982d1b2a7c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff8ad6c76f05254d2d17802e395c6e78de32382284408cc796b9adfbb741f498",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-01-09T18:15:11Z",
    "title_canon_sha256": "ddb3edbd108f13d3128c76929e18acc1123cde3c3d22a6d24f99511ff480c563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9801039",
    "kind": "arxiv",
    "version": 1
  }
}