Pith Number

pith:OFSATLGM

pith:2018:OFSATLGMD65O654CK4X6SF4JPP

not attested not anchored not stored refs pending

Links between functions and subdifferentials

Marc Lassonde

arxiv:1802.06303 v2 · 2018-02-17 · 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{OFSATLGMD65O654CK4X6SF4JPP}

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	2026-05-18T00:03:24.681337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

716409accc1fbaef7782572fe917897bc11d8438765bb8e494d3abc5c5f1c52e

Aliases

arxiv: 1802.06303 · arxiv_version: 1802.06303v2 · doi: 10.48550/arxiv.1802.06303 · pith_short_12: OFSATLGMD65O · pith_short_16: OFSATLGMD65O654C · pith_short_8: OFSATLGM

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/OFSATLGMD65O654CK4X6SF4JPP \
  | 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: 716409accc1fbaef7782572fe917897bc11d8438765bb8e494d3abc5c5f1c52e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4274434db99f9047ca2726e7e1281dc30b34fb5ebd7209b7ce6984df5a268245",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-17T22:21:03Z",
    "title_canon_sha256": "9aa0dd6eb8e3ef3f264d145804e01ffa2ce3acada8e0dcb06a88cd9eeed28bdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06303",
    "kind": "arxiv",
    "version": 2
  }
}