Pith Number

pith:NTRPHN6Z

pith:2013:NTRPHN6Z4UTMNA7LTG7TVYXHPV

not attested not anchored not stored refs pending

Continuous essential selections and integral functionals

Ari-Pekka Perkki\"o

arxiv:1308.4787 v1 · 2013-08-22 · math.OC · 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{NTRPHN6Z4UTMNA7LTG7TVYXHPV}

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	2026-05-18T03:15:19.786340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ce2f3b7d9e526c683eb99bf3ae2e77d5d1ca03c1d748b8d7a13f8cde6a63cbc

Aliases

arxiv: 1308.4787 · arxiv_version: 1308.4787v1 · doi: 10.48550/arxiv.1308.4787 · pith_short_12: NTRPHN6Z4UTM · pith_short_16: NTRPHN6Z4UTMNA7L · pith_short_8: NTRPHN6Z

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/NTRPHN6Z4UTMNA7LTG7TVYXHPV \
  | 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: 6ce2f3b7d9e526c683eb99bf3ae2e77d5d1ca03c1d748b8d7a13f8cde6a63cbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6e789087a25508453cb982b96b730d0f8d755bc859c0103e5365b05bb04073b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-08-22T08:31:58Z",
    "title_canon_sha256": "20c45ea50a75565552764d27d040cba326d8071787471fba64fbcfbbf2055a2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4787",
    "kind": "arxiv",
    "version": 1
  }
}