Pith Number

pith:6W43VXF6

pith:2023:6W43VXF6HQXWKSIYOONYOWUNTS

not attested not anchored not stored refs pending

Thurston norms, $L^2$-norms, geodesic laminations, and Lipschitz maps

Xiaolong Hans Han

arxiv:2310.18093 v2 · 2023-10-27 · 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{6W43VXF6HQXWKSIYOONYOWUNTS}

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

1 paper in Pith

Infinity-harmonic functions and inverse mean curvature flow clusters

Receipt and verification

First computed	2026-07-05T07:51:34.639137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5b9badcbe3c2f654918739b875a8d9c8ccb25f6be2e1a530c0bedbc5f844ea2

Aliases

arxiv: 2310.18093 · arxiv_version: 2310.18093v2 · doi: 10.48550/arxiv.2310.18093 · pith_short_12: 6W43VXF6HQXW · pith_short_16: 6W43VXF6HQXWKSIY · pith_short_8: 6W43VXF6

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/6W43VXF6HQXWKSIYOONYOWUNTS \
  | 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: f5b9badcbe3c2f654918739b875a8d9c8ccb25f6be2e1a530c0bedbc5f844ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34eecff12d2d6b9fb5d15bfe34cb2c6471a8105e49a85cbae3bfe85fb57852ef",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-10-27T12:30:42Z",
    "title_canon_sha256": "f805cafbcd85250d3ff1863f7d3c86ced7279570236996bf447d4c8fb8aa805a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.18093",
    "kind": "arxiv",
    "version": 2
  }
}