Pith Number

pith:PNVRDQJ6

pith:2017:PNVRDQJ6SCKHWHWPOODNYMPJUD

not attested not anchored not stored refs pending

On the connection between a skew product IFS and the ergodic optimization for a finite family of potentials

Elismar R. Oliveira

arxiv:1712.03203 v3 · 2017-12-08 · math.DS · math.OC · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNVRDQJ6SCKHWHWPOODNYMPJUD}

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	2026-05-17T23:49:06.064744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b6b11c13e90947b1ecf7386dc31e9a0d9e97240332ddc8ecd94c810969bc807

Aliases

arxiv: 1712.03203 · arxiv_version: 1712.03203v3 · doi: 10.48550/arxiv.1712.03203 · pith_short_12: PNVRDQJ6SCKH · pith_short_16: PNVRDQJ6SCKHWHWP · pith_short_8: PNVRDQJ6

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/PNVRDQJ6SCKHWHWPOODNYMPJUD \
  | 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: 7b6b11c13e90947b1ecf7386dc31e9a0d9e97240332ddc8ecd94c810969bc807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b76783f0fbe4edb9af1516252c515094592bc3885a8b15708537fde94e47a8b6",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-08T18:10:27Z",
    "title_canon_sha256": "1c38a8bfac0cd51f634ffbba07c7f988d2880c7229c2ed931f9c4906043844ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03203",
    "kind": "arxiv",
    "version": 3
  }
}