Pith Number

pith:ILQ4RYSN

pith:2019:ILQ4RYSN4TP5KWW62BGDJVOT3B

not attested not anchored not stored refs pending

Of commutators and Jacobians

Tuomas P. Hyt\"onen

arxiv:1905.00814 v1 · 2019-05-02 · math.AP · math.CV · 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{ILQ4RYSN4TP5KWW62BGDJVOT3B}

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	2026-05-17T23:47:09.210137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e1c8e24de4dfd55aded04c34d5d3d857d3725a1fc06b274228bed175ce5883

Aliases

arxiv: 1905.00814 · arxiv_version: 1905.00814v1 · doi: 10.48550/arxiv.1905.00814 · pith_short_12: ILQ4RYSN4TP5 · pith_short_16: ILQ4RYSN4TP5KWW6 · pith_short_8: ILQ4RYSN

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/ILQ4RYSN4TP5KWW62BGDJVOT3B \
  | 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: 42e1c8e24de4dfd55aded04c34d5d3d857d3725a1fc06b274228bed175ce5883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6412a53f72cb765e3b69b6fe2bf00636eba1621394d2c19c37d95ec3efc8f89d",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-02T15:42:27Z",
    "title_canon_sha256": "8b753a481d2a7c2d64f6806aceb7db7ebe4bcc79101c93aeaaf88ddd51cdb01c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.00814",
    "kind": "arxiv",
    "version": 1
  }
}