Pith Number

pith:6W4SI6EH

pith:2015:6W4SI6EH4E2QJNJTK2OHZDO4VK

not attested not anchored not stored refs pending

The function $(\cosh\sqrt{at^2+b})$ is exponentially convex

Victor Katsnelson

arxiv:1502.04201 v2 · 2015-02-14 · 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{6W4SI6EH4E2QJNJTK2OHZDO4VK}

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	2026-05-18T01:14:26.140090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5b9247887e13504b533569c7c8ddcaa89d32e515f7e453a4cc3fe18c27951ce

Aliases

arxiv: 1502.04201 · arxiv_version: 1502.04201v2 · doi: 10.48550/arxiv.1502.04201 · pith_short_12: 6W4SI6EH4E2Q · pith_short_16: 6W4SI6EH4E2QJNJT · pith_short_8: 6W4SI6EH

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/6W4SI6EH4E2QJNJTK2OHZDO4VK \
  | 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: f5b9247887e13504b533569c7c8ddcaa89d32e515f7e453a4cc3fe18c27951ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99b913c1e17ae475d2962d60acb9baad879c9769a4b0836a88268cbedec73df3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-02-14T12:17:16Z",
    "title_canon_sha256": "436d688f5f218390dc816b9d96b6e4fedb9df8e06bb247375d051b3e15e13dd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04201",
    "kind": "arxiv",
    "version": 2
  }
}