Pith Number

pith:YHPQGUBQ

pith:2015:YHPQGUBQPMIXW3WIDBCOUFCLFU

not attested not anchored not stored refs pending

An Ergodic Theorem on Ergodic Transport

Joana Mohr, Rafael Rig\~ao Souza

arxiv:1509.06347 v2 · 2015-09-21 · math.DS · 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{YHPQGUBQPMIXW3WIDBCOUFCLFU}

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	2026-05-17T23:53:03.148391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1df0350307b117b6ec81844ea144b2d27727ec3ebedea42413228bd790243f0

Aliases

arxiv: 1509.06347 · arxiv_version: 1509.06347v2 · doi: 10.48550/arxiv.1509.06347 · pith_short_12: YHPQGUBQPMIX · pith_short_16: YHPQGUBQPMIXW3WI · pith_short_8: YHPQGUBQ

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/YHPQGUBQPMIXW3WIDBCOUFCLFU \
  | 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: c1df0350307b117b6ec81844ea144b2d27727ec3ebedea42413228bd790243f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "394336d20344c78f7f5eee1ffb0e1c9219dff172b44a11c8ff3732119422f8ff",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-21T19:12:53Z",
    "title_canon_sha256": "00998531f6404849b0b6e18a5d49980becf8bc636268cadd1cb49004469f33d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06347",
    "kind": "arxiv",
    "version": 2
  }
}