Pith Number

pith:GV2YJHSL

pith:2011:GV2YJHSLLQHVQRBKJIQPSVCR4K

not attested not anchored not stored refs pending

Frameworks with crystallographic symmetry

Ciprian S. Borcea, Ileana Streinu

arxiv:1110.4662 v1 · 2011-10-20 · 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{GV2YJHSLLQHVQRBKJIQPSVCR4K}

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	2026-05-18T04:10:35.433951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3575849e4b5c0f58442a4a20f95451e29303097d27b0872ef25fd646ab0cc3f0

Aliases

arxiv: 1110.4662 · arxiv_version: 1110.4662v1 · doi: 10.48550/arxiv.1110.4662 · pith_short_12: GV2YJHSLLQHV · pith_short_16: GV2YJHSLLQHVQRBK · pith_short_8: GV2YJHSL

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/GV2YJHSLLQHVQRBKJIQPSVCR4K \
  | 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: 3575849e4b5c0f58442a4a20f95451e29303097d27b0872ef25fd646ab0cc3f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0254a43898e6c5774ca88d5a3729f58099d0a4592afe26fe0652c4da7c286a63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-10-20T23:32:49Z",
    "title_canon_sha256": "44e39f464102c1a484f169aa7e5e61ac4719c80b6efef87bf4f8165913f25135"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4662",
    "kind": "arxiv",
    "version": 1
  }
}