Pith Number

pith:EXFY5I7M

pith:2013:EXFY5I7MAXZXFPVLQFJMVW677P

not attested not anchored not stored refs pending

Problems and Results related to Waring's problem: Maximal functions and ergodic averages

Kevin Hughes

arxiv:1310.7904 v1 · 2013-10-29 · math.CA · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXFY5I7MAXZXFPVLQFJMVW677P}

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	2026-05-18T03:08:27.689539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25cb8ea3ec05f372beab8152cadbdffbf3ee61d2dd801b9d7d93c8943bbe73df

Aliases

arxiv: 1310.7904 · arxiv_version: 1310.7904v1 · doi: 10.48550/arxiv.1310.7904 · pith_short_12: EXFY5I7MAXZX · pith_short_16: EXFY5I7MAXZXFPVL · pith_short_8: EXFY5I7M

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/EXFY5I7MAXZXFPVLQFJMVW677P \
  | 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: 25cb8ea3ec05f372beab8152cadbdffbf3ee61d2dd801b9d7d93c8943bbe73df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8f4d8ef6ede861eeaa1c5f24fda7878c2c5be4132cd54dbb95f34450e4e75bf",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-29T18:05:36Z",
    "title_canon_sha256": "e186f0e41330405e344c33cfbe8438e0b2b87e894d58ab9f14325079784a1bac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7904",
    "kind": "arxiv",
    "version": 1
  }
}