Pith Number

pith:XGNCHVPG

pith:2012:XGNCHVPGWSD5I56W5KQKXIYDY7

not attested not anchored not stored refs pending

Ergodic Transport Theory and Piecewise Analytic Subactions for Analytic Dynamics

Artur O. Lopes, Daniel Smania, Elismar R. Oliveira

arxiv:1205.5758 v1 · 2012-05-25 · math.DS · math.CV · 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{XGNCHVPGWSD5I56W5KQKXIYDY7}

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	2026-05-18T03:54:50.423709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b99a23d5e6b487d477d6eaa0aba303c7dc940adde0f05582cd27387025bc7ab1

Aliases

arxiv: 1205.5758 · arxiv_version: 1205.5758v1 · doi: 10.48550/arxiv.1205.5758 · pith_short_12: XGNCHVPGWSD5 · pith_short_16: XGNCHVPGWSD5I56W · pith_short_8: XGNCHVPG

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/XGNCHVPGWSD5I56W5KQKXIYDY7 \
  | 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: b99a23d5e6b487d477d6eaa0aba303c7dc940adde0f05582cd27387025bc7ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d24234716be4c46bc486d242b5343f96853fe51b1feac2f3859c59fbbe8ac5d",
    "cross_cats_sorted": [
      "math.CV",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-25T17:23:07Z",
    "title_canon_sha256": "49569842862ae09d618d6f1e869fd8f47bca2ab70ce8f8ac0fd6eaab86b973bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5758",
    "kind": "arxiv",
    "version": 1
  }
}