Pith Number

pith:BEWG3ZCZ

pith:2011:BEWG3ZCZTIBQADJC7NLRZZJW2E

not attested not anchored not stored refs pending

Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces II

Fanglun Huang, Gensun Fang, Shun Zhang

arxiv:1105.5499 v3 · 2011-05-27 · math.FA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEWG3ZCZTIBQADJC7NLRZZJW2E}

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	2026-05-18T01:49:56.358115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

092c6de4599a03000d22fb571ce536d134fc59b766551d6cc621108d7749592c

Aliases

arxiv: 1105.5499 · arxiv_version: 1105.5499v3 · doi: 10.48550/arxiv.1105.5499 · pith_short_12: BEWG3ZCZTIBQ · pith_short_16: BEWG3ZCZTIBQADJC · pith_short_8: BEWG3ZCZ

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/BEWG3ZCZTIBQADJC7NLRZZJW2E \
  | 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: 092c6de4599a03000d22fb571ce536d134fc59b766551d6cc621108d7749592c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa26ed7e2e978b8ec135a8bef53e308799b6130a6069943333c0290e264f22d",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-27T08:43:48Z",
    "title_canon_sha256": "09b09ac79ddedcc6e2d9286256bc88f1ff2b8cd8f6f0b7446cf175095323203c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5499",
    "kind": "arxiv",
    "version": 3
  }
}