Pith Number

pith:AAL6E3MI

pith:2022:AAL6E3MI2P57MBPTMVQBGJ5IQU

not attested not anchored not stored refs pending

Revisiting Rockafellar's Theorem on Relative Interiors of Convex Graphs with Applications to Convex Generalized Differentiation

Boris Mordukhovich, Dang Van Cuong, Gary Sandine, Nguyen Mau Nam

arxiv:2201.10689 v2 · 2022-01-26 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAL6E3MI2P57MBPTMVQBGJ5IQU}

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	2026-07-05T05:58:14.973736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0017e26d88d3fbf605f365601327a8850c4187ea043f4cc0350e828dc9e5bc68

Aliases

arxiv: 2201.10689 · arxiv_version: 2201.10689v2 · doi: 10.48550/arxiv.2201.10689 · pith_short_12: AAL6E3MI2P57 · pith_short_16: AAL6E3MI2P57MBPT · pith_short_8: AAL6E3MI

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/AAL6E3MI2P57MBPTMVQBGJ5IQU \
  | 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: 0017e26d88d3fbf605f365601327a8850c4187ea043f4cc0350e828dc9e5bc68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d92563836d2ec6baecd85b8a48e0544ad8c227d2099556ee567826389083f44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-01-26T00:29:52Z",
    "title_canon_sha256": "edb37819802fd59c071c2bb622ce01773de7b75f14bbfc8746d6a0e21af0236c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.10689",
    "kind": "arxiv",
    "version": 2
  }
}