Pith Number

pith:3ASCT5ZB

pith:2016:3ASCT5ZBSFZ5GC7K6NKROOKQIY

not attested not anchored not stored refs pending

Parseval space-frequency localized frames on sub-Riemannian compact homogeneous manifolds

Isaac Z. Pesenson

arxiv:1612.05755 v1 · 2016-12-17 · 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{3ASCT5ZBSFZ5GC7K6NKROOKQIY}

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	2026-05-18T00:54:46.810515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d82429f7219173d30beaf3551739504616cd8fe894cf82bc0a3d842cb427b72f

Aliases

arxiv: 1612.05755 · arxiv_version: 1612.05755v1 · doi: 10.48550/arxiv.1612.05755 · pith_short_12: 3ASCT5ZBSFZ5 · pith_short_16: 3ASCT5ZBSFZ5GC7K · pith_short_8: 3ASCT5ZB

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/3ASCT5ZBSFZ5GC7K6NKROOKQIY \
  | 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: d82429f7219173d30beaf3551739504616cd8fe894cf82bc0a3d842cb427b72f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da185a307ccf7f308f3275687e91939634b8ed45ee4244c1ad1f88f150ae8c5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-17T13:34:38Z",
    "title_canon_sha256": "8d23b664bfd992634697b63c65b6e4f376495cc321373d6ac476f3afc08c7e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05755",
    "kind": "arxiv",
    "version": 1
  }
}