Pith Number

pith:ATN5BGEK

pith:1996:ATN5BGEKOXWIPIBE7J3AKMZ4ZS

not attested not anchored not stored refs pending

Paraexponentials, Muckenhoupt weights, and resolvents of paraproducts

Cristina Pereyra, Lesley Ward

arxiv:math/9604229 v1 · 1996-04-29 · 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{ATN5BGEKOXWIPIBE7J3AKMZ4ZS}

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	2026-05-18T01:05:47.574545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04dbd0988a75ec87a024fa7605333cccab82179d87cb363542687e2382983932

Aliases

arxiv: math/9604229 · arxiv_version: math/9604229v1 · doi: 10.48550/arxiv.math/9604229 · pith_short_12: ATN5BGEKOXWI · pith_short_16: ATN5BGEKOXWIPIBE · pith_short_8: ATN5BGEK

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/ATN5BGEKOXWIPIBE7J3AKMZ4ZS \
  | 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: 04dbd0988a75ec87a024fa7605333cccab82179d87cb363542687e2382983932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "872d28098659c87800aae813c574aad0c6cb350556d0bc690df3a916be5dbc89",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1996-04-29T00:00:00Z",
    "title_canon_sha256": "926578bddd6311890ab40a7fe391881057e1abf2f996d84f710883b274a88db0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9604229",
    "kind": "arxiv",
    "version": 1
  }
}