Pith Number

pith:PJEMUPVD

pith:2022:PJEMUPVDP7DW23YTHKLW3SZNTD

not attested not anchored not stored refs pending

On symmetric representations of $\text{SL}_2(\mathbb{Z})$

Samuel Wilson, Siu-Hung Ng, Yilong Wang

arxiv:2203.15701 v1 · 2022-03-29 · math.QA · math.CT · math.GR · math.NT · 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{PJEMUPVDP7DW23YTHKLW3SZNTD}

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	2026-07-05T05:39:50.388149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a48ca3ea37fc76d6f133a976dcb2d98e030f5b2232600d43d05bbe7ab410617

Aliases

arxiv: 2203.15701 · arxiv_version: 2203.15701v1 · doi: 10.48550/arxiv.2203.15701 · pith_short_12: PJEMUPVDP7DW · pith_short_16: PJEMUPVDP7DW23YT · pith_short_8: PJEMUPVD

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/PJEMUPVDP7DW23YTHKLW3SZNTD \
  | 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: 7a48ca3ea37fc76d6f133a976dcb2d98e030f5b2232600d43d05bbe7ab410617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "200ee89b4df16fef5f9432b8068473720b72c8aa97a47fdd89dde4b65ec9476a",
    "cross_cats_sorted": [
      "math.CT",
      "math.GR",
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2022-03-29T16:05:49Z",
    "title_canon_sha256": "4d69c2172007dcf18d5e190de82291588fd5f3f5d7495b4662d3186b9779708a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.15701",
    "kind": "arxiv",
    "version": 1
  }
}