Pith Number

pith:F4NJ3HUX

pith:2025:F4NJ3HUXAVEFU64DJMSLWD44PE

not attested not anchored not stored refs pending

Embedding and compact embedding between Bergman and Hardy spaces

Fugang Yan, Guanlong Bao, Kehe Zhu, Pan Ma

arxiv:2502.08406 v1 · 2025-02-12 · 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{F4NJ3HUXAVEFU64DJMSLWD44PE}

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	2026-07-05T10:13:22.300365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1a9d9e9705485a7b834b24bb0f9c790b316b7c4fd5f2020635969f2e7503f6

Aliases

arxiv: 2502.08406 · arxiv_version: 2502.08406v1 · doi: 10.48550/arxiv.2502.08406 · pith_short_12: F4NJ3HUXAVEF · pith_short_16: F4NJ3HUXAVEFU64D · pith_short_8: F4NJ3HUX

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/F4NJ3HUXAVEFU64DJMSLWD44PE \
  | 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: 2f1a9d9e9705485a7b834b24bb0f9c790b316b7c4fd5f2020635969f2e7503f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63db66436c06253cf62f3a2e10f66418c5238a5b3704afbc1f0e071b70d0e29a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-02-12T13:48:35Z",
    "title_canon_sha256": "9f85f1af9cafb9d336fb5b687d72170bce1cb0deaa0341d153e914559926942e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08406",
    "kind": "arxiv",
    "version": 1
  }
}