Pith Number

pith:DQUY4F3K

pith:2012:DQUY4F3KMBAMSLLPOXCEDFKTJO

not attested not anchored not stored refs pending

A note on the hypercontractivity of the polynomial Bohnenblust--Hille inequality

Daniel Pellegrino

arxiv:1212.6672 v2 · 2012-12-29 · 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{DQUY4F3KMBAMSLLPOXCEDFKTJO}

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	2026-05-18T03:37:27.443702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c298e176a6040c92d6f75c44195534bb4ffd18f72c8e07b45715683e236be9d

Aliases

arxiv: 1212.6672 · arxiv_version: 1212.6672v2 · doi: 10.48550/arxiv.1212.6672 · pith_short_12: DQUY4F3KMBAM · pith_short_16: DQUY4F3KMBAMSLLP · pith_short_8: DQUY4F3K

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/DQUY4F3KMBAMSLLPOXCEDFKTJO \
  | 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: 1c298e176a6040c92d6f75c44195534bb4ffd18f72c8e07b45715683e236be9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47c2270d8274346b1b33d19429a2fa5109648b479a62e9d816819d24041056f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-29T23:13:48Z",
    "title_canon_sha256": "36f545ccea3570ff71dc518c9f8a1c8945214375ec57b6a908971f38865f3c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6672",
    "kind": "arxiv",
    "version": 2
  }
}