Pith Number

pith:PTYGESOW

pith:2011:PTYGESOW72GDLC74XCAFPQB3A6

not attested not anchored not stored refs pending

Duality of holomorphic functions spaces und smoothing properties of the Bergman projection

Anne-Katrin Herbig, Emil J. Straube, Jeffery D. McNeal

arxiv:1110.1533 v1 · 2011-10-07 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTYGESOW72GDLC74XCAFPQB3A6}

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	2026-05-18T01:18:04.878551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf06249d6fe8c358bfcb88057c03b07afa45eef21ec412f7c44da61c9a9c29c

Aliases

arxiv: 1110.1533 · arxiv_version: 1110.1533v1 · doi: 10.48550/arxiv.1110.1533 · pith_short_12: PTYGESOW72GD · pith_short_16: PTYGESOW72GDLC74 · pith_short_8: PTYGESOW

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/PTYGESOW72GDLC74XCAFPQB3A6 \
  | 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: 7cf06249d6fe8c358bfcb88057c03b07afa45eef21ec412f7c44da61c9a9c29c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0ebd0ba6e165f966d6667d9f453bb4dbd0597d9f7a853a7464d969428191b1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-10-07T14:03:15Z",
    "title_canon_sha256": "b7acbd1f677709bf078ed0880327ae2756b53a5e4c5cf9a3d4d2c48ecdea9d78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1533",
    "kind": "arxiv",
    "version": 1
  }
}