Pith Number

pith:N7REZSY7

pith:2011:N7REZSY7YXPUK3ZRJBXZO76P47

not attested not anchored not stored refs pending

Dimension spectrum for a nonconventional ergodic average

Boris Solomyak, Yuval Peres

arxiv:1107.1749 v2 · 2011-07-08 · 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{N7REZSY7YXPUK3ZRJBXZO76P47}

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	2026-05-18T00:24:10.735416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe24ccb1fc5df456f31486f977fcfe7d0aa4db6ee43059323cca95a5a6056e6

Aliases

arxiv: 1107.1749 · arxiv_version: 1107.1749v2 · doi: 10.48550/arxiv.1107.1749 · pith_short_12: N7REZSY7YXPU · pith_short_16: N7REZSY7YXPUK3ZR · pith_short_8: N7REZSY7

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/N7REZSY7YXPUK3ZRJBXZO76P47 \
  | 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: 6fe24ccb1fc5df456f31486f977fcfe7d0aa4db6ee43059323cca95a5a6056e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae364e9d78f3fdf52f75a5c539d9f61c00943f7ec628bcc20f0dcf5a41da6de6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-08T23:13:49Z",
    "title_canon_sha256": "cc4d1698d449c3082e6f4b55f08db37b64975665ceacdf414060b07532841f31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1749",
    "kind": "arxiv",
    "version": 2
  }
}