Pith Number

pith:W2O55AEO

pith:2017:W2O55AEOCXBFBSGKKCXFXYVRWG

not attested not anchored not stored refs pending

A general representation of delta-normal sets to sublevels of convex functions

Abderrahim Hantoute, Anton Svensson

arxiv:1710.10187 v1 · 2017-10-27 · 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{W2O55AEOCXBFBSGKKCXFXYVRWG}

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	2026-05-18T00:31:54.569712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b69dde808e15c250c8ca50ae5be2b1b1adebb9b4ad4e8dc94574e95ce0cbe258

Aliases

arxiv: 1710.10187 · arxiv_version: 1710.10187v1 · doi: 10.48550/arxiv.1710.10187 · pith_short_12: W2O55AEOCXBF · pith_short_16: W2O55AEOCXBFBSGK · pith_short_8: W2O55AEO

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/W2O55AEOCXBFBSGKKCXFXYVRWG \
  | 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: b69dde808e15c250c8ca50ae5be2b1b1adebb9b4ad4e8dc94574e95ce0cbe258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "563678ee555e675ff2a4d25f274e3fb9c9deadc70f90c5c4efd11af7639e4489",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-10-27T15:03:11Z",
    "title_canon_sha256": "616b8db255f4baecec2275b0219a3c5f7e4cb028c77e9c50167b2ed01a77823e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10187",
    "kind": "arxiv",
    "version": 1
  }
}