Pith Number

pith:3J4PNJXH

pith:2013:3J4PNJXH2HJKL3IRS2MP7SSZV6

not attested not anchored not stored refs pending

Inequalities via n-times differentiable convex functions

Merve Avci Ardic

arxiv:1310.0947 v1 · 2013-10-03 · 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{3J4PNJXH2HJKL3IRS2MP7SSZV6}

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	2026-05-18T03:11:24.933556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da78f6a6e7d1d2a5ed119698ffca59afa21344a170597a0e62a8468d2b96c162

Aliases

arxiv: 1310.0947 · arxiv_version: 1310.0947v1 · doi: 10.48550/arxiv.1310.0947 · pith_short_12: 3J4PNJXH2HJK · pith_short_16: 3J4PNJXH2HJKL3IR · pith_short_8: 3J4PNJXH

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/3J4PNJXH2HJKL3IRS2MP7SSZV6 \
  | 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: da78f6a6e7d1d2a5ed119698ffca59afa21344a170597a0e62a8468d2b96c162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1040229189faad1b6c1736ad29a1bb773535661227fe972f67834762c57c3511",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-03T11:38:00Z",
    "title_canon_sha256": "7ffde4d839627bcb9cca22607a056d4a4baddd74a8b24405951b20a5400e7f99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0947",
    "kind": "arxiv",
    "version": 1
  }
}