Pith Number

pith:AJPOAFGG

pith:2017:AJPOAFGGXPUM4RV6WO32EMABML

not attested not anchored not stored refs pending

Upper semismooth functions and the subdifferential determination property

Marc Lassonde

arxiv:1703.03069 v1 · 2017-03-08 · 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{AJPOAFGGXPUM4RV6WO32EMABML}

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	2026-05-18T00:49:01.657954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

025ee014c6bbe8ce46beb3b7a2300162d02b1cb9edf225bcc8b902df9891f0b1

Aliases

arxiv: 1703.03069 · arxiv_version: 1703.03069v1 · doi: 10.48550/arxiv.1703.03069 · pith_short_12: AJPOAFGGXPUM · pith_short_16: AJPOAFGGXPUM4RV6 · pith_short_8: AJPOAFGG

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/AJPOAFGGXPUM4RV6WO32EMABML \
  | 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: 025ee014c6bbe8ce46beb3b7a2300162d02b1cb9edf225bcc8b902df9891f0b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e52eacd7c9f727e701850c31741adcf832a34aee216207edfd8ecaa01338888",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-03-08T23:19:14Z",
    "title_canon_sha256": "8080ca307d50a2ce893ee74141101e7511d4a6e98d22741f1a94812ad943ff9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03069",
    "kind": "arxiv",
    "version": 1
  }
}