Pith Number

pith:MREDMPMI

pith:2015:MREDMPMIWI52OYZ73FCRXVCZKT

not attested not anchored not stored refs pending

The Dimensions of the Symmetry Types of Polyhedra with Reflection Groups

Henrique F. da Cruz, Ilda I. Rodrigues, M. Rostami

arxiv:1508.07855 v1 · 2015-08-31 · math.MG · 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{MREDMPMIWI52OYZ73FCRXVCZKT}

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	2026-05-18T01:34:31.310734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6448363d88b23ba7633fd9451bd45954cc5dc523743c87d3b396e5e022dc7397

Aliases

arxiv: 1508.07855 · arxiv_version: 1508.07855v1 · doi: 10.48550/arxiv.1508.07855 · pith_short_12: MREDMPMIWI52 · pith_short_16: MREDMPMIWI52OYZ7 · pith_short_8: MREDMPMI

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/MREDMPMIWI52OYZ73FCRXVCZKT \
  | 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: 6448363d88b23ba7633fd9451bd45954cc5dc523743c87d3b396e5e022dc7397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b5086692a58e8bd70c7dd3e495986a23b814559e8207806a75c4dfd2ba7e8b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-08-31T14:46:16Z",
    "title_canon_sha256": "17d5f25939b4ad7e39422408853c6c4e5aaf8414bfd7af0ad192753f1c10e0d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07855",
    "kind": "arxiv",
    "version": 1
  }
}