Pith Number

pith:GQS25YFO

pith:2012:GQS25YFOADWEY4Q2JITWN2N6TT

not attested not anchored not stored refs pending

Two new definitions on convexity and related inequalities

Mevlut Tunc

arxiv:1205.5189 v1 · 2012-05-23 · 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{GQS25YFOADWEY4Q2JITWN2N6TT}

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	2026-05-18T03:55:02.034801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3425aee0ae00ec4c721a4a2766e9be9ceee1706f8cae9b930b156f160e86c9c2

Aliases

arxiv: 1205.5189 · arxiv_version: 1205.5189v1 · doi: 10.48550/arxiv.1205.5189 · pith_short_12: GQS25YFOADWE · pith_short_16: GQS25YFOADWEY4Q2 · pith_short_8: GQS25YFO

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/GQS25YFOADWEY4Q2JITWN2N6TT \
  | 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: 3425aee0ae00ec4c721a4a2766e9be9ceee1706f8cae9b930b156f160e86c9c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf02b31aa07ea8b26bd5dc5b392dc5b794e5daf9097c309829488a21e073f448",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-23T14:41:36Z",
    "title_canon_sha256": "62cfc4f1b5c0f681eb4d0999069a83e774fcc14433f2611722d35d9e9bdc2503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5189",
    "kind": "arxiv",
    "version": 1
  }
}