Pith Number

pith:QVM5CI6G

pith:2017:QVM5CI6GIJ4SDWYXHRZJSOAYU2

not attested not anchored not stored refs pending

Noncommutative harmonic analysis on semigroups

Maofa Wang, Yong Jiao

arxiv:1702.08746 v1 · 2017-02-28 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVM5CI6GIJ4SDWYXHRZJSOAYU2}

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	2026-05-18T00:49:47.986614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8559d123c6427921db173c72993818a695f03d97a3926f82cce0af7d466cc0c9

Aliases

arxiv: 1702.08746 · arxiv_version: 1702.08746v1 · doi: 10.48550/arxiv.1702.08746 · pith_short_12: QVM5CI6GIJ4S · pith_short_16: QVM5CI6GIJ4SDWYX · pith_short_8: QVM5CI6G

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/QVM5CI6GIJ4SDWYXHRZJSOAYU2 \
  | 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: 8559d123c6427921db173c72993818a695f03d97a3926f82cce0af7d466cc0c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aa5556fcab5fcc5107ecea4fc52ab4d54cfb7d25e065d656c4387d47187b160",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-28T11:13:18Z",
    "title_canon_sha256": "6af94e7a15e49e116d2f18d4ad2220798a94fef2fd8254a0b45046a5bcca7370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08746",
    "kind": "arxiv",
    "version": 1
  }
}