Pith Number

pith:VNA46R4I

pith:2017:VNA46R4IVIXBARVGRK4EBJPYPY

not attested not anchored not stored refs pending

Two-sided norm estimates for Bergman-type projections with an asymptotically sharp lower bound

Antti Per\"al\"a, Congwen Liu, Lifang Zhou

arxiv:1701.01988 v1 · 2017-01-08 · 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{VNA46R4IVIXBARVGRK4EBJPYPY}

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	2026-05-18T00:53:12.899739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab41cf4788aa2e1046a68ab840a5f87e0abfc63b4c4072c9f102bef772fdfe68

Aliases

arxiv: 1701.01988 · arxiv_version: 1701.01988v1 · doi: 10.48550/arxiv.1701.01988 · pith_short_12: VNA46R4IVIXB · pith_short_16: VNA46R4IVIXBARVG · pith_short_8: VNA46R4I

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/VNA46R4IVIXBARVGRK4EBJPYPY \
  | 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: ab41cf4788aa2e1046a68ab840a5f87e0abfc63b4c4072c9f102bef772fdfe68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59d24d242d5bbfc98b71734acb039a7acf29b5cdda51027ad6e52a72b66eca8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-01-08T17:24:20Z",
    "title_canon_sha256": "721668e7e4aae9b11f1be3dc6f2e2df65e39360cccda479fbcdc1092dd1999df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01988",
    "kind": "arxiv",
    "version": 1
  }
}