Pith Number

pith:NU7VZBH5

pith:2012:NU7VZBH5MVCWBCCLBQ344IYLTJ

not attested not anchored not stored refs pending

A Ramsey space of infinite polyhedra and the random polyhedron

Gabriel Padilla, Jose G. Mijares

arxiv:1209.6421 v4 · 2012-09-28 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NU7VZBH5MVCWBCCLBQ344IYLTJ}

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	2026-05-18T01:21:16.499731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d3f5c84fd654560884b0c37ce230b9a6dd4581fb69ddfc4e1d0addef3c97857

Aliases

arxiv: 1209.6421 · arxiv_version: 1209.6421v4 · doi: 10.48550/arxiv.1209.6421 · pith_short_12: NU7VZBH5MVCW · pith_short_16: NU7VZBH5MVCWBCCL · pith_short_8: NU7VZBH5

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/NU7VZBH5MVCWBCCLBQ344IYLTJ \
  | 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: 6d3f5c84fd654560884b0c37ce230b9a6dd4581fb69ddfc4e1d0addef3c97857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9151f43255496582bcf3a6df6bbb3597b7bed188309859bee202494620498da",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-28T04:18:53Z",
    "title_canon_sha256": "639b9727342222cfabbf190d08fcda2d957ac12f082609a4df96ef66c410e98a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6421",
    "kind": "arxiv",
    "version": 4
  }
}