Pith Number

pith:ZRWZ6IVP

pith:2014:ZRWZ6IVPGF5X2YHKTLRFZ6JI4E

not attested not anchored not stored refs pending

A new generalization of the midpoint formula for n-time differentiable mappings which are convex

Cetin Yildiz, M. Emin Ozdemir

arxiv:1404.5128 v1 · 2014-04-21 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRWZ6IVPGF5X2YHKTLRFZ6JI4E}

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	2026-05-18T02:53:42.674901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc6d9f22af317b7d60ea9ae25cf928e104b1d5cfe4d943ed8f6f2de133b35c7e

Aliases

arxiv: 1404.5128 · arxiv_version: 1404.5128v1 · doi: 10.48550/arxiv.1404.5128 · pith_short_12: ZRWZ6IVPGF5X · pith_short_16: ZRWZ6IVPGF5X2YHK · pith_short_8: ZRWZ6IVP

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/ZRWZ6IVPGF5X2YHKTLRFZ6JI4E \
  | 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: cc6d9f22af317b7d60ea9ae25cf928e104b1d5cfe4d943ed8f6f2de133b35c7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dd92457ab0f1f28535b37d620cfa842599c629805fece8b6d98719dc6b29d98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-21T07:08:59Z",
    "title_canon_sha256": "b15918525d69d1f47a9e24989b01714718d75ae86c058d44e8b79129e93ca7f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5128",
    "kind": "arxiv",
    "version": 1
  }
}