Pith Number

pith:Z5L52UEW

pith:2014:Z5L52UEWYX2YIBSKQCJ6IOTMJK

not attested not anchored not stored refs pending

Representation of convex operators and their static and dynamic sandwich extensions

Giulia Di Nunno, Jocelyne Bion-Nadal

arxiv:1412.2030 v2 · 2014-12-05 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5L52UEWYX2YIBSKQCJ6IOTMJK}

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	2026-05-18T01:13:16.925987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf57dd5096c5f584064a8093e43a6c4ab57e6abdc0709c433e1d6ab9df8ad125

Aliases

arxiv: 1412.2030 · arxiv_version: 1412.2030v2 · doi: 10.48550/arxiv.1412.2030 · pith_short_12: Z5L52UEWYX2Y · pith_short_16: Z5L52UEWYX2YIBSK · pith_short_8: Z5L52UEW

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/Z5L52UEWYX2YIBSKQCJ6IOTMJK \
  | 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: cf57dd5096c5f584064a8093e43a6c4ab57e6abdc0709c433e1d6ab9df8ad125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d234f382f207d67a4741babb96c2ea93e63f5d57502f43a692ae4f96abd30bb",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-05T15:36:00Z",
    "title_canon_sha256": "43abda70d0fff36959ddadb233924af86187577eceb15ad1692c9d4ccbaaaabf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2030",
    "kind": "arxiv",
    "version": 2
  }
}