Pith Number

pith:6AGTF66G

pith:2024:6AGTF66GQGGDVCBKDV7WARXPM4

not attested not anchored not stored refs pending

Stability Criteria and Calculus Rules via Conic Contingent Coderivatives in Banach Spaces

Boris S. Mordukhovich, Pengcheng Wu, Xiaoqi Yang

arxiv:2401.04907 v1 · 2024-01-10 · 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{6AGTF66GQGGDVCBKDV7WARXPM4}

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	2026-07-05T07:32:00.052267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f00d32fbc6818c3a882a1d7f6046ef6725fd93b5814507eb4e96544492ef5ba1

Aliases

arxiv: 2401.04907 · arxiv_version: 2401.04907v1 · doi: 10.48550/arxiv.2401.04907 · pith_short_12: 6AGTF66GQGGD · pith_short_16: 6AGTF66GQGGDVCBK · pith_short_8: 6AGTF66G

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/6AGTF66GQGGDVCBKDV7WARXPM4 \
  | 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: f00d32fbc6818c3a882a1d7f6046ef6725fd93b5814507eb4e96544492ef5ba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "403516789aea4eafbbca3a420faf46f90dd1a0e4a1171146488b6ffc13279fc5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-01-10T03:24:28Z",
    "title_canon_sha256": "7bacfeabcb6f18d7b899795c28ce4500c71e4ee7f18d402a91037e5b4c7d590d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.04907",
    "kind": "arxiv",
    "version": 1
  }
}