Pith Number

pith:F3D6I5GT

pith:2019:F3D6I5GTMGWD5LZT2JDM7KAAAL

not attested not anchored not stored refs pending

Algebraic Calder\'on-Zygmund theory

Javier Parcet, Marius Junge, Runlian Xia, Tao Mei

arxiv:1907.07375 v1 · 2019-07-17 · math.FA · math.CA · math.OA

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3D6I5GTMGWD5LZT2JDM7KAAAL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:40:22.447825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec7e474d361ac3eaf33d246cfa80002e9b3e1c84dbc345f597577e5ddb59497

Aliases

arxiv: 1907.07375 · arxiv_version: 1907.07375v1 · doi: 10.48550/arxiv.1907.07375 · pith_short_12: F3D6I5GTMGWD · pith_short_16: F3D6I5GTMGWD5LZT · pith_short_8: F3D6I5GT

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/F3D6I5GTMGWD5LZT2JDM7KAAAL \
  | 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: 2ec7e474d361ac3eaf33d246cfa80002e9b3e1c84dbc345f597577e5ddb59497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d2cdf0118dbe06942c4f1d686e02363936facaa37e0b4670dac2b64fe339443",
    "cross_cats_sorted": [
      "math.CA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-17T08:00:51Z",
    "title_canon_sha256": "1f00cc34a7c760d73ac08b59de225c9b907dd01ce8e57cbeb2ceda4639e870ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07375",
    "kind": "arxiv",
    "version": 1
  }
}