Pith Number

pith:LB7CDMNB

pith:2015:LB7CDMNBBFC4I5DPBVOD57KCP3

not attested not anchored not stored refs pending

Self-dual Wulff shapes and spherical convex bodies of constant width ${\pi}/{2}$

Huhe Han, Takashi Nishimura

arxiv:1511.04165 v2 · 2015-11-13 · 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{LB7CDMNBBFC4I5DPBVOD57KCP3}

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	2026-05-18T01:22:50.302245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

587e21b1a10945c4746f0d5c3efd427eeb61492dd010247d9e889a8f4712c0d7

Aliases

arxiv: 1511.04165 · arxiv_version: 1511.04165v2 · doi: 10.48550/arxiv.1511.04165 · pith_short_12: LB7CDMNBBFC4 · pith_short_16: LB7CDMNBBFC4I5DP · pith_short_8: LB7CDMNB

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/LB7CDMNBBFC4I5DPBVOD57KCP3 \
  | 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: 587e21b1a10945c4746f0d5c3efd427eeb61492dd010247d9e889a8f4712c0d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9bb55fc456056aa2b8c4784e2b664847c5f83265dd5e753fa048af5d6c3b20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-11-13T06:01:20Z",
    "title_canon_sha256": "769cec17f6c6193b7f5dc1148371986fdd459f7a0722611e99011c277b354ef5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04165",
    "kind": "arxiv",
    "version": 2
  }
}