Pith Number

pith:GF53I3WF

pith:2026:GF53I3WF3YJF6K6E4KOJFYJDJQ

not attested not anchored not stored refs pending

An algorithmic approach for computing fundamental domains of crystallographic groups

Alice C. Niemeyer, Lukas Schnelle, Reymond Akpanya

arxiv:2607.02130 v1 · 2026-07-02 · math.MG · cs.CG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GF53I3WF3YJF6K6E4KOJFYJDJQ}

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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	2026-07-03T01:17:43.021362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

317bb46ec5de125f2bc4e29c92e1234c02d783b99b29f29242d4f0d21a49f91d

Aliases

arxiv: 2607.02130 · arxiv_version: 2607.02130v1 · doi: 10.48550/arxiv.2607.02130 · pith_short_12: GF53I3WF3YJF · pith_short_16: GF53I3WF3YJF6K6E · pith_short_8: GF53I3WF

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/GF53I3WF3YJF6K6E4KOJFYJDJQ \
  | 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: 317bb46ec5de125f2bc4e29c92e1234c02d783b99b29f29242d4f0d21a49f91d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c73833d02f9b7ff75339d11bbe9b86b4eec3d913ce34f8d2da2256db0c07613",
    "cross_cats_sorted": [
      "cs.CG",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-02T13:06:56Z",
    "title_canon_sha256": "4b349fa1a54ba1dbd819d8ee93908e576f83f7038134efd68f428e8aa163ce68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02130",
    "kind": "arxiv",
    "version": 1
  }
}