Pith Number

pith:C3P26KX5

pith:1997:C3P26KX5E2H5ZOBNL7YQZKZMIU

not attested not anchored not stored refs pending

Some conjectures about integral means of $\partial f$ and $\bar{\partial} f$

Al Baernstein II, Stephen J. Montgomery-Smith

arxiv:math/9709215 v2 · 1997-09-15 · 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{C3P26KX5E2H5ZOBNL7YQZKZMIU}

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	2026-07-04T15:08:17.090223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16dfaf2afd268fdcb82d5ff10cab2c452fb44b63fa28cd149b1864bc59f0e13f

Aliases

arxiv: math/9709215 · arxiv_version: math/9709215v2 · doi: 10.48550/arxiv.math/9709215 · pith_short_12: C3P26KX5E2H5 · pith_short_16: C3P26KX5E2H5ZOBN · pith_short_8: C3P26KX5

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/C3P26KX5E2H5ZOBNL7YQZKZMIU \
  | 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: 16dfaf2afd268fdcb82d5ff10cab2c452fb44b63fa28cd149b1864bc59f0e13f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dc768ac746593532382a169fc2ae93f6791a517d3873b4cea00deb82515a269",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1997-09-15T00:00:00Z",
    "title_canon_sha256": "36a62c4c5ec96ea0c3121dd704fa795040e3ad9d0fdd325247e7e2331c4cf9b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9709215",
    "kind": "arxiv",
    "version": 2
  }
}