Pith Number

pith:WZXD6FA4

pith:1993:WZXD6FA4DE5CQTU4V424ELGIDW

not attested not anchored not stored refs pending

Random polytopes and affine surface area

Carsten Sch\"utt

arxiv:math/9302210 v1 · 1993-02-04 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZXD6FA4DE5CQTU4V424ELGIDW}

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	2026-05-18T01:05:52.317515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b66e3f141c193a284e9caf35c22cc81db302924870047c95c11981d4c338c3b2

Aliases

arxiv: math/9302210 · arxiv_version: math/9302210v1 · doi: 10.48550/arxiv.math/9302210 · pith_short_12: WZXD6FA4DE5C · pith_short_16: WZXD6FA4DE5CQTU4 · pith_short_8: WZXD6FA4

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/WZXD6FA4DE5CQTU4V424ELGIDW \
  | 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: b66e3f141c193a284e9caf35c22cc81db302924870047c95c11981d4c338c3b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e59676bdaedbf7c65bc36518a6366008eda6c1b2fde3583fa58be3831a981e7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "1993-02-04T16:55:49Z",
    "title_canon_sha256": "ad7af9e2932f03e364b3f0a159c3c36c0eec5a7499b7882ee074f20207d34152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9302210",
    "kind": "arxiv",
    "version": 1
  }
}