Pith Number

pith:CMNE3INL

pith:2026:CMNE3INLKKBUDRCV4RZ43KNSLV

not attested not anchored not stored refs pending

Obstructions to smoothing orbicurves and Orbifold Hecke algebras

Ko Honda, Roman Krutowski, Tianyu Yuan, Yin Tian

arxiv:2607.11572 v1 · 2026-07-13 · math.SG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMNE3INLKKBUDRCV4RZ43KNSLV}

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	2026-07-14T02:22:12.741118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

131a4da1ab528341c455e473cda9b25d536e7657a297a297f157411d92bb256d

Aliases

arxiv: 2607.11572 · arxiv_version: 2607.11572v1 · doi: 10.48550/arxiv.2607.11572 · pith_short_12: CMNE3INLKKBU · pith_short_16: CMNE3INLKKBUDRCV · pith_short_8: CMNE3INL

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/CMNE3INLKKBUDRCV4RZ43KNSLV \
  | 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: 131a4da1ab528341c455e473cda9b25d536e7657a297a297f157411d92bb256d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6df6e4f174a09a39082b13801729f158a43b644631894fe3d9c89c3f7cdcea16",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-07-13T13:53:07Z",
    "title_canon_sha256": "d27a0e54c1175973875d6bdec526fb0c89ef85538c23c9c02ef5972278f8c0a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11572",
    "kind": "arxiv",
    "version": 1
  }
}