Pith Number

pith:HDPQ45HY

pith:2011:HDPQ45HYQYYM3DN3QWROAFS2DC

not attested not anchored not stored refs pending

On extending $L^{2}$ holomorphic functions from complex hyperplanes

Emil J. Straube, Giuseppe Zampieri

arxiv:1104.4305 v2 · 2011-04-21 · 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{HDPQ45HYQYYM3DN3QWROAFS2DC}

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	2026-05-18T04:19:33.300753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38df0e74f88630cd8dbb85a2e0165a18a9e6f10db45191cf38028d2c4cdda3f6

Aliases

arxiv: 1104.4305 · arxiv_version: 1104.4305v2 · doi: 10.48550/arxiv.1104.4305 · pith_short_12: HDPQ45HYQYYM · pith_short_16: HDPQ45HYQYYM3DN3 · pith_short_8: HDPQ45HY

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/HDPQ45HYQYYM3DN3QWROAFS2DC \
  | 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: 38df0e74f88630cd8dbb85a2e0165a18a9e6f10db45191cf38028d2c4cdda3f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0ab390f5c241977e7691f4a5ffe317b80e12747f5ab44a7fae135657994e2b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-04-21T16:27:50Z",
    "title_canon_sha256": "2975956fcf15fedca7ff67ad22063a261979b328c6d2e52b67149e1575eee749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4305",
    "kind": "arxiv",
    "version": 2
  }
}