Pith Number

pith:KRZC6USP

pith:2014:KRZC6USPUWHXBTBYGSHDNC5XEV

not attested not anchored not stored refs pending

On the generalized convexity and concavity

Barkat Ali Bhayo, Li Yin

arxiv:1411.6586 v1 · 2014-11-24 · 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{KRZC6USPUWHXBTBYGSHDNC5XEV}

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	2026-05-18T02:32:54.769235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54722f524fa58f70cc38348e368bb7255e5e6e83baf0ec5a87ef57d1775afa3c

Aliases

arxiv: 1411.6586 · arxiv_version: 1411.6586v1 · doi: 10.48550/arxiv.1411.6586 · pith_short_12: KRZC6USPUWHX · pith_short_16: KRZC6USPUWHXBTBY · pith_short_8: KRZC6USP

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/KRZC6USPUWHXBTBYGSHDNC5XEV \
  | 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: 54722f524fa58f70cc38348e368bb7255e5e6e83baf0ec5a87ef57d1775afa3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d3dd708a82b5444e996f5c928f715e5a27405db8a0f3a524c937386b3abc9b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-11-24T19:42:54Z",
    "title_canon_sha256": "91261a8d352a425b76f1c3e4c5aa8256725f0d3827c1c647be9782035fb8c8d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6586",
    "kind": "arxiv",
    "version": 1
  }
}