Pith Number

pith:W7SDJRMK

pith:2010:W7SDJRMKFKNHQDZUZKHI6XANQA

not attested not anchored not stored refs pending

On the existence of maximizers for a family of Restriction Theorems

Luca Fanelli, Luis Vega, Nicola Visciglia

arxiv:1007.2063 v1 · 2010-07-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7SDJRMKFKNHQDZUZKHI6XANQA}

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	2026-05-18T02:58:02.012052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7e434c58a2a9a780f34ca8e8f5c0d80030a3e670b9c705875872e4123174b00

Aliases

arxiv: 1007.2063 · arxiv_version: 1007.2063v1 · doi: 10.48550/arxiv.1007.2063 · pith_short_12: W7SDJRMKFKNH · pith_short_16: W7SDJRMKFKNHQDZU · pith_short_8: W7SDJRMK

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/W7SDJRMKFKNHQDZUZKHI6XANQA \
  | 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: b7e434c58a2a9a780f34ca8e8f5c0d80030a3e670b9c705875872e4123174b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "581f690a12851c23e629ee431da4180a34f13231bf53fb668942a6055c47e314",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-07-13T09:53:37Z",
    "title_canon_sha256": "243fcbb2b27aef7b305fb9b17e8ed071becf9205316cb6b810a9e0cffc7acf02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2063",
    "kind": "arxiv",
    "version": 1
  }
}