Pith Number

pith:32B6ZYNH

pith:2016:32B6ZYNHDXBBCQRSEXET2QWF3G

not attested not anchored not stored refs pending

How to flatten a soccer ball

Bernd Sturmfels, Kaie Kubjas, Pablo A. Parrilo

arxiv:1606.02253 v2 · 2016-06-07 · math.AG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32B6ZYNHDXBBCQRSEXET2QWF3G}

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	2026-05-18T00:26:13.043067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de83ece1a71dc211423225c93d42c5d9b950a011e3c8b83aa53310e15dbe81dc

Aliases

arxiv: 1606.02253 · arxiv_version: 1606.02253v2 · doi: 10.48550/arxiv.1606.02253 · pith_short_12: 32B6ZYNHDXBB · pith_short_16: 32B6ZYNHDXBBCQRS · pith_short_8: 32B6ZYNH

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/32B6ZYNHDXBBCQRSEXET2QWF3G \
  | 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: de83ece1a71dc211423225c93d42c5d9b950a011e3c8b83aa53310e15dbe81dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b0145074643308b2567360737c39465a4491ff0e43628323704afd8b8890eb",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-07T18:36:49Z",
    "title_canon_sha256": "dcc14495ab7510de0fb5139490aa0615a89fe93afbfaa3404a66638b9513eb6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02253",
    "kind": "arxiv",
    "version": 2
  }
}