Pith Number

pith:JQU5E2VV

pith:2015:JQU5E2VVZGW4SMYKEY65JRLCVH

not attested not anchored not stored refs pending

Notes on convex functions of order $\alpha$

Li-Mei Wang, Toshiyuki Sugawa

arxiv:1502.05127 v1 · 2015-02-18 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQU5E2VVZGW4SMYKEY65JRLCVH}

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	2026-05-18T02:26:52.314339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c29d26ab5c9adc9330a263dd4c562a9f916d53e82004cb981e365b47423e12d

Aliases

arxiv: 1502.05127 · arxiv_version: 1502.05127v1 · doi: 10.48550/arxiv.1502.05127 · pith_short_12: JQU5E2VVZGW4 · pith_short_16: JQU5E2VVZGW4SMYK · pith_short_8: JQU5E2VV

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/JQU5E2VVZGW4SMYKEY65JRLCVH \
  | 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: 4c29d26ab5c9adc9330a263dd4c562a9f916d53e82004cb981e365b47423e12d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80b6f48abdbc457c8bd360263aed2ba29dd89b0d825990de8e423888ec46cd91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-02-18T05:52:26Z",
    "title_canon_sha256": "fb5769379cdeb409f7a065fbed76b1d9ac7cbe7c32da8ae806a90e4a51bbf305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05127",
    "kind": "arxiv",
    "version": 1
  }
}