Pith Number

pith:UAVHORZB

pith:2026:UAVHORZBARO3BWYPABMEQZU6QO

not attested not anchored not stored refs pending

Extension of Sobolev functions on balls in infinite dimensions

Shiliang Zhao, Xu Zhang, Zhouzhe Wang

arxiv:2606.06229 v1 · 2026-06-04 · 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{UAVHORZBARO3BWYPABMEQZU6QO}

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	2026-06-05T01:15:38.637219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a02a774721045db0db0f005848669e839d20c94d84a8326aa31ee9e9326473ab

Aliases

arxiv: 2606.06229 · arxiv_version: 2606.06229v1 · doi: 10.48550/arxiv.2606.06229 · pith_short_12: UAVHORZBARO3 · pith_short_16: UAVHORZBARO3BWYP · pith_short_8: UAVHORZB

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/UAVHORZBARO3BWYPABMEQZU6QO \
  | 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: a02a774721045db0db0f005848669e839d20c94d84a8326aa31ee9e9326473ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f67ba639be5498ed309a6c63668912074585a1e6b8b2dc4961f87cecd1dd7ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-04T14:37:14Z",
    "title_canon_sha256": "8f34a4d632bdd759484c63db346419007f0f32def3ff04f851d5589968c7aabd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06229",
    "kind": "arxiv",
    "version": 1
  }
}