Pith Number

pith:6A6K2PND

pith:2016:6A6K2PNDOCWOJ725OCMIZQAVFS

not attested not anchored not stored refs pending

Full Characterization of embedding relations between alpha modulation spaces

Dashan Fan, Guoping Zhao, Huoxiong Wu, Weichao Guo

arxiv:1606.01386 v2 · 2016-06-04 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6A6K2PNDOCWOJ725OCMIZQAVFS}

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	2026-05-18T01:10:42.566432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f03cad3da370ace4ff5d70988cc0152ca0a9d15a08e6be79cf745722b1ec59f1

Aliases

arxiv: 1606.01386 · arxiv_version: 1606.01386v2 · doi: 10.48550/arxiv.1606.01386 · pith_short_12: 6A6K2PNDOCWO · pith_short_16: 6A6K2PNDOCWOJ725 · pith_short_8: 6A6K2PND

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/6A6K2PNDOCWOJ725OCMIZQAVFS \
  | 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: f03cad3da370ace4ff5d70988cc0152ca0a9d15a08e6be79cf745722b1ec59f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4c05cfcfa5485c042133302f42d08609ba9682be478fb83b924f90ac45505b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-04T15:29:01Z",
    "title_canon_sha256": "ac63ded5c7ee5f21f5b7383b8605705cf6c122c2016bceb387923e65cc5b3375"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01386",
    "kind": "arxiv",
    "version": 2
  }
}