Pith Number

pith:DNDMEMDD

pith:2012:DNDMEMDDILMQTBKUD7M5EAFJST

not attested not anchored not stored refs pending

Directional derivatives and subdifferentials of set-valued convex functions

Andreas H. Hamel, Carola Schrage

arxiv:1207.5295 v1 · 2012-07-23 · 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{DNDMEMDDILMQTBKUD7M5EAFJST}

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	2026-05-18T03:50:23.935758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b46c2306342d90985541fd9d200a994f0fb9f2c91b19324bb4dd49dc8ab9987

Aliases

arxiv: 1207.5295 · arxiv_version: 1207.5295v1 · doi: 10.48550/arxiv.1207.5295 · pith_short_12: DNDMEMDDILMQ · pith_short_16: DNDMEMDDILMQTBKU · pith_short_8: DNDMEMDD

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/DNDMEMDDILMQTBKUD7M5EAFJST \
  | 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: 1b46c2306342d90985541fd9d200a994f0fb9f2c91b19324bb4dd49dc8ab9987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef632958bec4bb3a5184cbd08652a0b8ea72311bdbbdb40e3fe75e2f8a04a46d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-07-23T05:26:00Z",
    "title_canon_sha256": "d790e63d2a0fc0858626c26cb928f60bce04557e2303e68074923b3fab840408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5295",
    "kind": "arxiv",
    "version": 1
  }
}