Pith Number

pith:VRUCPEYQ

pith:2013:VRUCPEYQ4GACWUWLY3EQ6YFFXM

not attested not anchored not stored refs pending

Inequalities for a number of different types of convexity

Merve Avci Ardic

arxiv:1309.6798 v1 · 2013-09-26 · 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{VRUCPEYQ4GACWUWLY3EQ6YFFXM}

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	2026-05-18T03:12:10.468919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac68279310e1802b52cbc6c90f60a5bb224d050cfdb7ac24b1ce16c54344e8fc

Aliases

arxiv: 1309.6798 · arxiv_version: 1309.6798v1 · doi: 10.48550/arxiv.1309.6798 · pith_short_12: VRUCPEYQ4GAC · pith_short_16: VRUCPEYQ4GACWUWL · pith_short_8: VRUCPEYQ

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/VRUCPEYQ4GACWUWLY3EQ6YFFXM \
  | 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: ac68279310e1802b52cbc6c90f60a5bb224d050cfdb7ac24b1ce16c54344e8fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e83c88723e912a93f220d3529a4621f717214ce5d82c405e6e8eafb2e9bd2e9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-26T11:10:11Z",
    "title_canon_sha256": "bf0708cb5501fae91ab9982319b739822dc7febf49f78fd8efae33ce0f1a54ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6798",
    "kind": "arxiv",
    "version": 1
  }
}