Pith Number

pith:NTECVLYR

pith:2015:NTECVLYRAUERLUDITOUOATVCFV

not attested not anchored not stored refs pending

Sharp inequalities for the variation of the discrete maximal function

Jos\'e Madrid

arxiv:1512.04112 v1 · 2015-12-13 · 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{NTECVLYRAUERLUDITOUOATVCFV}

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	2026-05-18T01:24:23.107023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cc82aaf11050915d0689ba8e04ea22d7eb518686306ae8077343f5995a4c37d

Aliases

arxiv: 1512.04112 · arxiv_version: 1512.04112v1 · doi: 10.48550/arxiv.1512.04112 · pith_short_12: NTECVLYRAUER · pith_short_16: NTECVLYRAUERLUDI · pith_short_8: NTECVLYR

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/NTECVLYRAUERLUDITOUOATVCFV \
  | 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: 6cc82aaf11050915d0689ba8e04ea22d7eb518686306ae8077343f5995a4c37d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3648ab4da303850efb92645a9c03f542084312c66cdc1953b0f38b4faf72b13a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-13T19:53:34Z",
    "title_canon_sha256": "47d12810c859113e0a929541746c8081cf98c17744ef1f2595554c26293d83cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04112",
    "kind": "arxiv",
    "version": 1
  }
}