Pith Number

pith:J2GB5MWM

pith:2017:J2GB5MWM6X3J2QYV34FNAWXPB3

not attested not anchored not stored refs pending

The Computation of Fourier transforms on $SL_2(\mathbb{Z}/p^n\mathbb{Z}) and related numerical experiments

Benjamin K. Breen, Daniel N. Rockmore, Daryl R. DeFord, Jason D. Linehan

arxiv:1710.02687 v2 · 2017-10-07 · 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{J2GB5MWM6X3J2QYV34FNAWXPB3}

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	2026-05-18T00:01:23.561875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e8c1eb2ccf5f69d4315df0ad05aef0ec33b1fbe21126677c764bcf5c34de5a6

Aliases

arxiv: 1710.02687 · arxiv_version: 1710.02687v2 · doi: 10.48550/arxiv.1710.02687 · pith_short_12: J2GB5MWM6X3J · pith_short_16: J2GB5MWM6X3J2QYV · pith_short_8: J2GB5MWM

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/J2GB5MWM6X3J2QYV34FNAWXPB3 \
  | 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: 4e8c1eb2ccf5f69d4315df0ad05aef0ec33b1fbe21126677c764bcf5c34de5a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf1ab85f84a1db609cb9c8f41aa7902232486d9968030081d32dfe4e8fce9e9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-10-07T14:11:30Z",
    "title_canon_sha256": "9f0a053674adf0f709a6b6d3c0aecd11cd17d32346dcc7ba533ac1c8c8115857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02687",
    "kind": "arxiv",
    "version": 2
  }
}