Pith Number

pith:GFWABYR2

pith:2012:GFWABYR2UPQTFS2Y7N4XBJRT5O

not attested not anchored not stored refs pending

The Vector Valued Quartile Operator

Ioannis Parissis, Michael T. Lacey, Tuomas P. Hyt\"onen

arxiv:1203.5604 v2 · 2012-03-26 · 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{GFWABYR2UPQTFS2Y7N4XBJRT5O}

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	2026-05-18T01:33:58.918437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

316c00e23aa3e132cb58fb7970a633eb83fa9a5357b170c4c0ef7677e6eea5d3

Aliases

arxiv: 1203.5604 · arxiv_version: 1203.5604v2 · doi: 10.48550/arxiv.1203.5604 · pith_short_12: GFWABYR2UPQT · pith_short_16: GFWABYR2UPQTFS2Y · pith_short_8: GFWABYR2

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/GFWABYR2UPQTFS2Y7N4XBJRT5O \
  | 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: 316c00e23aa3e132cb58fb7970a633eb83fa9a5357b170c4c0ef7677e6eea5d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51557e22ca6ebd23e7e4d90f8b8e893953c0036939849e4739bfdd7ba50c0c1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-26T09:01:38Z",
    "title_canon_sha256": "2b3836f00ddcf83e3ba85664e46bb589dc7f27cee594700b8d117f3ab71541b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5604",
    "kind": "arxiv",
    "version": 2
  }
}