Pith Number

pith:XCDWD7IC

pith:2012:XCDWD7ICNZRNZOLQDWHVLZGRDR

not attested not anchored not stored refs pending

The Octagonal PET I: Renormalization and Hyperbolic Symmetry

Richard Evan Schwartz

arxiv:1209.2390 v2 · 2012-09-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCDWD7ICNZRNZOLQDWHVLZGRDR}

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	2026-05-18T03:44:23.633909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b88761fd026e62dcb9701d8f55e4d11c7a01532706e57f2e9fd6be79f042bbc6

Aliases

arxiv: 1209.2390 · arxiv_version: 1209.2390v2 · doi: 10.48550/arxiv.1209.2390 · pith_short_12: XCDWD7ICNZRN · pith_short_16: XCDWD7ICNZRNZOLQ · pith_short_8: XCDWD7IC

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/XCDWD7ICNZRNZOLQDWHVLZGRDR \
  | 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: b88761fd026e62dcb9701d8f55e4d11c7a01532706e57f2e9fd6be79f042bbc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d836dacfa6f87e1d9185352444c49ec84f5fffc783a2308d3261a17f241525ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-11T18:37:31Z",
    "title_canon_sha256": "6d054babff125e826f73266096ce8b4eb96f4fe77fecc6f28b05e00b958776fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2390",
    "kind": "arxiv",
    "version": 2
  }
}