Pith Number

pith:PHTCSZYF

pith:2013:PHTCSZYFNCYMAH6XHA3ZDGW7EA

not attested not anchored not stored refs pending

Extremal Domains for Self-Commutators in the Bergman Space

Dmitry Khavinson, Matthew Fleeman

arxiv:1311.1842 v1 · 2013-11-07 · 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{PHTCSZYFNCYMAH6XHA3ZDGW7EA}

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	2026-05-18T03:07:42.861993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e629670568b0c01fd73837919adf203da8fb2504294e10b70a0f58f29ef631

Aliases

arxiv: 1311.1842 · arxiv_version: 1311.1842v1 · doi: 10.48550/arxiv.1311.1842 · pith_short_12: PHTCSZYFNCYM · pith_short_16: PHTCSZYFNCYMAH6X · pith_short_8: PHTCSZYF

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/PHTCSZYFNCYMAH6XHA3ZDGW7EA \
  | 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: 79e629670568b0c01fd73837919adf203da8fb2504294e10b70a0f58f29ef631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0de2f3134375b863c42fb64f529412f9405ca01ca49018457ab237ab43b5a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-07T22:56:00Z",
    "title_canon_sha256": "af34ffefd2e559290d28666749d5abb0a8cc4974f01eec4c140ed3dba8452c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1842",
    "kind": "arxiv",
    "version": 1
  }
}