Pith Number

pith:XJD4QFBE

pith:2010:XJD4QFBEDZRQSU2GZYE3U7ANOV

not attested not anchored not stored refs pending

Integral geometry for the 1-norm

Tom Leinster

arxiv:1012.5881 v3 · 2010-12-29 · math.MG · math.DG · 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{XJD4QFBEDZRQSU2GZYE3U7ANOV}

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	2026-05-18T04:00:59.901879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba47c814241e63095346ce09ba7c0d756a9d06e2448959825a6fd2752867ae58

Aliases

arxiv: 1012.5881 · arxiv_version: 1012.5881v3 · doi: 10.48550/arxiv.1012.5881 · pith_short_12: XJD4QFBEDZRQ · pith_short_16: XJD4QFBEDZRQSU2G · pith_short_8: XJD4QFBE

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/XJD4QFBEDZRQSU2GZYE3U7ANOV \
  | 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: ba47c814241e63095346ce09ba7c0d756a9d06e2448959825a6fd2752867ae58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "386344a6b1da740acaecab3965e91cc5e0362b57e0b0a36c3216c2479f65ac3b",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-12-29T07:38:14Z",
    "title_canon_sha256": "1907c31aed0d4c0c4bfcc3250641eeb7e335c9b9f2efd89d010a73c0c743dc62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5881",
    "kind": "arxiv",
    "version": 3
  }
}