Pith Number

pith:7X66G45K

pith:2016:7X66G45KT2ZMN2LAXKCK6JKUM7

not attested not anchored not stored refs pending

On Lipschitzian properties of implicit multifunctions

Helmut Gfrerer, Ji\v{r}\'i V. Outrata

arxiv:1611.08260 v1 · 2016-11-24 · 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{7X66G45KT2ZMN2LAXKCK6JKUM7}

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	2026-05-18T00:56:39.681571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdfde373aa9eb2c6e960ba84af255467e1d581c8f04bedf52a726ef415f94897

Aliases

arxiv: 1611.08260 · arxiv_version: 1611.08260v1 · doi: 10.48550/arxiv.1611.08260 · pith_short_12: 7X66G45KT2ZM · pith_short_16: 7X66G45KT2ZMN2LA · pith_short_8: 7X66G45K

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/7X66G45KT2ZMN2LAXKCK6JKUM7 \
  | 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: fdfde373aa9eb2c6e960ba84af255467e1d581c8f04bedf52a726ef415f94897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0150cd2d5bb1573754404c29bd44f12f7beecfc394f21cd641459e507d77c6fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-11-24T17:13:18Z",
    "title_canon_sha256": "7fa1726454d699269cbfd6661b5c7f701bae5f49c574e7b08bf6b005c92f9bf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08260",
    "kind": "arxiv",
    "version": 1
  }
}