Pith Number

pith:XMJHIBZR

pith:2015:XMJHIBZR672CGARYSI44KOT7GP

not attested not anchored not stored refs pending

Strangely dual orbifold equivalence I

Ana Ros Camacho, Rachel Newton

arxiv:1509.08069 v1 · 2015-09-27 · math.QA · math.CO · 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{XMJHIBZR672CGARYSI44KOT7GP}

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	2026-05-18T01:15:06.697313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb12740731f7f42302389239c53a7f33c153a168292759a8d0a50b5cb0f68b2c

Aliases

arxiv: 1509.08069 · arxiv_version: 1509.08069v1 · doi: 10.48550/arxiv.1509.08069 · pith_short_12: XMJHIBZR672C · pith_short_16: XMJHIBZR672CGARY · pith_short_8: XMJHIBZR

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/XMJHIBZR672CGARYSI44KOT7GP \
  | 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: bb12740731f7f42302389239c53a7f33c153a168292759a8d0a50b5cb0f68b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e97d5a1e996de41ba61a762720aa80a4e7e8d80f36430564960b02f911b62bc",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-09-27T08:48:12Z",
    "title_canon_sha256": "ae305eb23240d2d2f0293ef696d96cd72f44f7676beb805e342f038f5d94f529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08069",
    "kind": "arxiv",
    "version": 1
  }
}