Pith Number

pith:43MYK7PF

pith:1992:43MYK7PFOOQS6KDNSE2PJWP6L7

not attested not anchored not stored refs pending

Curvature, triameter, and beyond

Karsten Grove, Steen Markvorsen

arxiv:math/9210216 v1 · 1992-10-01 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43MYK7PFOOQS6KDNSE2PJWP6L7}

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	2026-05-18T01:05:52.538684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6d9857de573a12f286d9134f4d9fe5fea88864f5db7913d0b5dd9f25f4c5716

Aliases

arxiv: math/9210216 · arxiv_version: math/9210216v1 · doi: 10.48550/arxiv.math/9210216 · pith_short_12: 43MYK7PFOOQS · pith_short_16: 43MYK7PFOOQS6KDN · pith_short_8: 43MYK7PF

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/43MYK7PFOOQS6KDNSE2PJWP6L7 \
  | 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: e6d9857de573a12f286d9134f4d9fe5fea88864f5db7913d0b5dd9f25f4c5716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cd69fb11f2afb5fa1033275a51b65596183051eb95ba0067e20d73b2a59a5db",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1992-10-01T00:00:00Z",
    "title_canon_sha256": "de73229784935c903a261be88c35bee66d643e85736fc05c489074cefeefce44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9210216",
    "kind": "arxiv",
    "version": 1
  }
}