Pith Number

pith:X4NWZ3YP

pith:2012:X4NWZ3YPJIDUR3VWG2IQ642MQV

not attested not anchored not stored refs pending

Implications between approximate convexity properties and approximate Hermite-Hadamard inequalities

Judit Mak\'o, Zsolt P\'ales

arxiv:1212.0874 v1 · 2012-12-04 · 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{X4NWZ3YPJIDUR3VWG2IQ642MQV}

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	2026-05-18T03:39:14.217015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf1b6cef0f4a0748eeb636910f734c85482d5d50dbdc858bbc183a532edc14f1

Aliases

arxiv: 1212.0874 · arxiv_version: 1212.0874v1 · doi: 10.48550/arxiv.1212.0874 · pith_short_12: X4NWZ3YPJIDU · pith_short_16: X4NWZ3YPJIDUR3VW · pith_short_8: X4NWZ3YP

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/X4NWZ3YPJIDUR3VWG2IQ642MQV \
  | 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: bf1b6cef0f4a0748eeb636910f734c85482d5d50dbdc858bbc183a532edc14f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79c4c4b436dddf9aafa84e74bcb7db0c98e7f000657b075e16a1432b1def2c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-04T21:10:52Z",
    "title_canon_sha256": "0892659bfc090fd23e499f3d83b61f79153a872fb63fa8d3e3d6bed2099a7947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0874",
    "kind": "arxiv",
    "version": 1
  }
}