Pith Number

pith:2RCQUFK5

pith:2017:2RCQUFK56MQ7PTR6KXR6AUU4V4

not attested not anchored not stored refs pending

Outer limits of subdifferentials for min-max type functions

Andrew Eberhard, Tian Sang, Vera Roshchina

arxiv:1701.02852 v2 · 2017-01-11 · 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{2RCQUFK56MQ7PTR6KXR6AUU4V4}

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	2026-05-18T00:36:24.420815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4450a155df321f7ce3e55e3e0529caf121467d67dbe34dd09e7f1eb114a2d8b

Aliases

arxiv: 1701.02852 · arxiv_version: 1701.02852v2 · doi: 10.48550/arxiv.1701.02852 · pith_short_12: 2RCQUFK56MQ7 · pith_short_16: 2RCQUFK56MQ7PTR6 · pith_short_8: 2RCQUFK5

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/2RCQUFK56MQ7PTR6KXR6AUU4V4 \
  | 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: d4450a155df321f7ce3e55e3e0529caf121467d67dbe34dd09e7f1eb114a2d8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3135b473202f3988cf910c4e658b71715c0c8e9508c97f9771cd49744be92fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-01-11T05:53:41Z",
    "title_canon_sha256": "dadfd867b4053d0181c321992e3254f51af4c475680c36638aad5966a672a95b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02852",
    "kind": "arxiv",
    "version": 2
  }
}