Pith Number

pith:G3UVCPTG

pith:2025:G3UVCPTGKIWINXM2K6YNTSYTKX

not attested not anchored not stored refs pending

The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory

Alexander Shapiro, Gus Schrader

arxiv:2509.03820 v1 · 2025-09-04 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3UVCPTGKIWINXM2K6YNTSYTKX}

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.

Cited by

2 papers in Pith

Quantized Geodesic Lengths for Teichm\"uller Spaces: Algebraic Aspects

Liouville Blocks from Spectral Networks

Receipt and verification

First computed	2026-07-05T12:04:47.135230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36e9513e66522c86dd9a57b0d9cb1355deceea3275c3f3da054442925ac33495

Aliases

arxiv: 2509.03820 · arxiv_version: 2509.03820v1 · doi: 10.48550/arxiv.2509.03820 · pith_short_12: G3UVCPTGKIWI · pith_short_16: G3UVCPTGKIWINXM2 · pith_short_8: G3UVCPTG

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/G3UVCPTGKIWINXM2K6YNTSYTKX \
  | 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: 36e9513e66522c86dd9a57b0d9cb1355deceea3275c3f3da054442925ac33495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f80c81e1f694e6d2b89ddbe6657c4783849db8f8cf6ef2c78e066adc9e2655c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-09-04T02:11:30Z",
    "title_canon_sha256": "4d84952c24d153a86206ca52d57383a0c0273f893da69f6152afed562f89d8ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03820",
    "kind": "arxiv",
    "version": 1
  }
}