Pith Number

pith:JN5BOXQH

pith:2026:JN5BOXQHMDESI5S7JCVD6JOQ6H

not attested not anchored not stored refs pending

On the WALA conjecture, Alberti representations and applications

Andrea Merlo

arxiv:2605.29804 v1 · 2026-05-28 · math.MG · math.AP · math.CA · 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{JN5BOXQHMDESI5S7JCVD6JOQ6H}

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	2026-05-29T02:05:53.523567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b7a175e0760c924765f48aa3f25d0f1ee46aba0d5ecc474979afd34080af700

Aliases

arxiv: 2605.29804 · arxiv_version: 2605.29804v1 · doi: 10.48550/arxiv.2605.29804 · pith_short_12: JN5BOXQHMDES · pith_short_16: JN5BOXQHMDESI5S7 · pith_short_8: JN5BOXQH

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/JN5BOXQHMDESI5S7JCVD6JOQ6H \
  | 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: 4b7a175e0760c924765f48aa3f25d0f1ee46aba0d5ecc474979afd34080af700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49687bb49204242b82eec0ad285d36b0c586bfe64a39e17802f5e0ce22d55d18",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-05-28T11:49:16Z",
    "title_canon_sha256": "da8a4071d1cc77b43aaba9a7f1cd3d6dae7e125e1a5ffbee2e7a1321bbde3487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29804",
    "kind": "arxiv",
    "version": 1
  }
}