Pith Number

pith:CAIJXHBR

pith:2011:CAIJXHBRJHFWINDV4TW37WEQ4U

not attested not anchored not stored refs pending

Mean value integral inequalities

Rodrigo L\'opez Pouso

arxiv:1106.1807 v1 · 2011-06-09 · 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{CAIJXHBRJHFWINDV4TW37WEQ4U}

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	2026-05-18T04:20:15.122386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10109b9c3149cb643475e4edbfd890e528bc83c351e969cf3901b83833bc1d55

Aliases

arxiv: 1106.1807 · arxiv_version: 1106.1807v1 · doi: 10.48550/arxiv.1106.1807 · pith_short_12: CAIJXHBRJHFW · pith_short_16: CAIJXHBRJHFWINDV · pith_short_8: CAIJXHBR

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/CAIJXHBRJHFWINDV4TW37WEQ4U \
  | 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: 10109b9c3149cb643475e4edbfd890e528bc83c351e969cf3901b83833bc1d55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e7fec7b9792fb6be31e991608bebd6016da5596589ce7119214dc311fd69231",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-06-09T13:34:45Z",
    "title_canon_sha256": "f0cda6fe20050d1aa6a57ce9a8ec37ca365747965222e866ca93cb61432ad523"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1807",
    "kind": "arxiv",
    "version": 1
  }
}