Pith Number

pith:AIQ75J65

pith:2011:AIQ75J65AF5OKT7IGEULU4YTY3

not attested not anchored not stored refs pending

Affine extensions of non-crystallographic Coxeter groups induced by projection

Celine Boehm, Pierre-Philippe Dechant, Reidun Twarock

arxiv:1110.5228 v2 · 2011-10-24 · math-ph · hep-th · math.GR · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AIQ75J65AF5OKT7IGEULU4YTY3}

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	2026-05-18T03:10:00.544785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0221fea7dd017ae54fe83128ba7313c6e69fb5170edd201a39fe8184f7df8d6e

Aliases

arxiv: 1110.5228 · arxiv_version: 1110.5228v2 · doi: 10.48550/arxiv.1110.5228 · pith_short_12: AIQ75J65AF5O · pith_short_16: AIQ75J65AF5OKT7I · pith_short_8: AIQ75J65

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/AIQ75J65AF5OKT7IGEULU4YTY3 \
  | 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: 0221fea7dd017ae54fe83128ba7313c6e69fb5170edd201a39fe8184f7df8d6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "493862a6d5e398eba871f0a8fbe5d0165fd6111a50be3efb3a47672a81ec21d5",
    "cross_cats_sorted": [
      "hep-th",
      "math.GR",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-24T13:25:15Z",
    "title_canon_sha256": "52b3be72d42187a449b6e5f6d6cea93e961278b1aea97d1c1baf71cd5830ee05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5228",
    "kind": "arxiv",
    "version": 2
  }
}