Pith Number

pith:X5QB4ZN4

pith:2011:X5QB4ZN45TP73TOID4O5KUZJZR

not attested not anchored not stored refs pending

The L^1-norm of exponential sums in Z^d

Giorgis Petridis

arxiv:1110.2014 v3 · 2011-10-10 · math.CO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5QB4ZN45TP73TOID4O5KUZJZR}

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	2026-05-18T03:13:56.441838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf601e65bcecdffdcdc81f1dd55329cc7a858ac82de1d80693a607b10f7abc49

Aliases

arxiv: 1110.2014 · arxiv_version: 1110.2014v3 · doi: 10.48550/arxiv.1110.2014 · pith_short_12: X5QB4ZN45TP7 · pith_short_16: X5QB4ZN45TP73TOI · pith_short_8: X5QB4ZN4

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/X5QB4ZN45TP73TOID4O5KUZJZR \
  | 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: bf601e65bcecdffdcdc81f1dd55329cc7a858ac82de1d80693a607b10f7abc49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f01c8c8f52989e455cec971bdcc4b4ea7c01186265b374edbd931cc5af9766f0",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-10T11:54:55Z",
    "title_canon_sha256": "ec728cb449c1840b740b4ddbfb3c88ec584fe577ca2f51c14199f1d4b3e42873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2014",
    "kind": "arxiv",
    "version": 3
  }
}