Pith Number

pith:ZDO7QOMY

pith:2012:ZDO7QOMYORT72UUTOCCJW2RX62

not attested not anchored not stored refs pending

The A_2 theorem: Remarks and complements

Tuomas P. Hyt\"onen

arxiv:1212.3840 v1 · 2012-12-16 · 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{ZDO7QOMYORT72UUTOCCJW2RX62}

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.

Cited by

1 paper in Pith

The Kerman-Sawyer trace theorem for product Morrey spaces

Receipt and verification

First computed	2026-05-18T03:38:22.279215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ddf839987467fd529370849b6a37f6aba187c771f1378f1f3e9835da1eb8d5

Aliases

arxiv: 1212.3840 · arxiv_version: 1212.3840v1 · doi: 10.48550/arxiv.1212.3840 · pith_short_12: ZDO7QOMYORT7 · pith_short_16: ZDO7QOMYORT72UUT · pith_short_8: ZDO7QOMY

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/ZDO7QOMYORT72UUTOCCJW2RX62 \
  | 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: c8ddf839987467fd529370849b6a37f6aba187c771f1378f1f3e9835da1eb8d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49f76a942d5278255f6370b49704ec6ad05f6830d693229d91a9f6f4ef303fc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-16T22:18:13Z",
    "title_canon_sha256": "b7aaed683e9bf40721236b003a9a8c316a52c6e32c6384c52d0773bbaf4fb11b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3840",
    "kind": "arxiv",
    "version": 1
  }
}