Pith Number

pith:BTV5KGYV

pith:2011:BTV5KGYVHEKIABPCUTHSBESQ2R

not attested not anchored not stored refs pending

The area measure of log-concave functions and related inequalities

Andrea Colesanti, Ilaria Fragala'

arxiv:1112.2555 v2 · 2011-12-12 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTV5KGYVHEKIABPCUTHSBESQ2R}

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	2026-05-18T04:05:57.216849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cebd51b1539148005e2a4cf209250d476fd3764458ca57c7979be06ded58c03

Aliases

arxiv: 1112.2555 · arxiv_version: 1112.2555v2 · doi: 10.48550/arxiv.1112.2555 · pith_short_12: BTV5KGYVHEKI · pith_short_16: BTV5KGYVHEKIABPC · pith_short_8: BTV5KGYV

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/BTV5KGYVHEKIABPCUTHSBESQ2R \
  | 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: 0cebd51b1539148005e2a4cf209250d476fd3764458ca57c7979be06ded58c03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67af23bbf8bfb089ea2b16c496eef977701b8b89e1c3832c1a4fd2a4c24bced0",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-12T14:29:20Z",
    "title_canon_sha256": "017f0da29c47eb29f596f60603b6bf619bcc68bccc1a5d5a2490cdb213a80ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2555",
    "kind": "arxiv",
    "version": 2
  }
}