Pith Number

pith:QUPMOTEF

pith:2015:QUPMOTEFU6VWPBNMT22CGKWHUD

not attested not anchored not stored refs pending

Solyanik estimates in ergodic theory

Ioannis Parissis, Paul A. Hagelstein

arxiv:1503.02900 v1 · 2015-03-10 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUPMOTEFU6VWPBNMT22CGKWHUD}

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	2026-05-18T00:56:04.730280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

851ec74c85a7ab6785ac9eb4232ac7a0e00c428b673b572d305247018241fb64

Aliases

arxiv: 1503.02900 · arxiv_version: 1503.02900v1 · doi: 10.48550/arxiv.1503.02900 · pith_short_12: QUPMOTEFU6VW · pith_short_16: QUPMOTEFU6VWPBNM · pith_short_8: QUPMOTEF

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/QUPMOTEFU6VWPBNMT22CGKWHUD \
  | 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: 851ec74c85a7ab6785ac9eb4232ac7a0e00c428b673b572d305247018241fb64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f998238c85ba3e24e3a97b9cc1662f43e818e9d08ac744f5f2b8c1fdaa0f3e18",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-10T13:45:45Z",
    "title_canon_sha256": "b3d8c8aedc890d1415b938f2dffeb1c456c956d6e4cdf185e2a726e2186e78e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02900",
    "kind": "arxiv",
    "version": 1
  }
}