Pith Number

pith:GU4J5JDY

pith:2013:GU4J5JDYTHUCUGWHBLGJB6X6ND

not attested not anchored not stored refs pending

Weak Cyclic Monotonicity and Existence of Solutions of Differential Inclusions

Elza Farkhi

arxiv:1307.2072 v4 · 2013-07-08 · math.CA · 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{GU4J5JDYTHUCUGWHBLGJB6X6ND}

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	2026-05-18T02:37:44.824501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35389ea47899e82a1ac70acc90fafe68d5d1c4ef2aa177f56a2f6a2b40fdd792

Aliases

arxiv: 1307.2072 · arxiv_version: 1307.2072v4 · doi: 10.48550/arxiv.1307.2072 · pith_short_12: GU4J5JDYTHUC · pith_short_16: GU4J5JDYTHUCUGWH · pith_short_8: GU4J5JDY

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/GU4J5JDYTHUCUGWHBLGJB6X6ND \
  | 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: 35389ea47899e82a1ac70acc90fafe68d5d1c4ef2aa177f56a2f6a2b40fdd792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f66121ee6a7ac2fa2e5495116c097d9d0d5dd5f9dc8704ae52a8e6a6d81a6319",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-08T12:57:14Z",
    "title_canon_sha256": "1c9e530d227f8eefa37a8fd07bfca6309102d7c813fbea17067cc9091c5bf515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2072",
    "kind": "arxiv",
    "version": 4
  }
}