Pith Number

pith:CO4Q54IN

pith:2015:CO4Q54INAJJ2SYXN5XXS5RAPIC

not attested not anchored not stored refs pending

An Exercise (?) in Fourier Analysis on the Heisenberg Group

Angela Hicks, Daniel Bump, Harold Widom, Laurent Miclo, Persi Diaconis

arxiv:1502.04160 v1 · 2015-02-14 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CO4Q54INAJJ2SYXN5XXS5RAPIC}

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	2026-05-18T02:27:00.336579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13b90ef10d0253a962ededef2ec40f40996066da76b58d836a20b4470939ea49

Aliases

arxiv: 1502.04160 · arxiv_version: 1502.04160v1 · doi: 10.48550/arxiv.1502.04160 · pith_short_12: CO4Q54INAJJ2 · pith_short_16: CO4Q54INAJJ2SYXN · pith_short_8: CO4Q54IN

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/CO4Q54INAJJ2SYXN5XXS5RAPIC \
  | 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: 13b90ef10d0253a962ededef2ec40f40996066da76b58d836a20b4470939ea49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f504bd11c66b564a8401457c459024019689fa9d6fbd5ae98014e62773668284",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-14T02:38:57Z",
    "title_canon_sha256": "0abc167c0be5da8e500d2143b9bdcbf2e017c300bffe4497440a0a99a409cb5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04160",
    "kind": "arxiv",
    "version": 1
  }
}