Pith Number

pith:EC357IKH

pith:2011:EC357IKHG74365CTX3N4YTN6HU

not attested not anchored not stored refs pending

Level sets of multiple ergodic averages

Fan Ai-Hua (LAMFA), Ji-Hua Ma, Lingmin Liao (LAMFA)

arxiv:1105.3032 v1 · 2011-05-16 · 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{EC357IKHG74365CTX3N4YTN6HU}

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	2026-05-18T04:22:01.516008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b7dfa14737f9bf7453bedbcc4dbe3d2ccc4d702c8b46ba568329419c8437c6

Aliases

arxiv: 1105.3032 · arxiv_version: 1105.3032v1 · doi: 10.48550/arxiv.1105.3032 · pith_short_12: EC357IKHG743 · pith_short_16: EC357IKHG74365CT · pith_short_8: EC357IKH

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/EC357IKHG74365CTX3N4YTN6HU \
  | 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: 20b7dfa14737f9bf7453bedbcc4dbe3d2ccc4d702c8b46ba568329419c8437c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "163ab5a8b1799a98e86973b75e1be420e4303420e0dd189017c3de3b5a366e2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-16T08:49:38Z",
    "title_canon_sha256": "7a168804fb44dd9023065d6515b62facc0380bce8db185af59b30b311a6309fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3032",
    "kind": "arxiv",
    "version": 1
  }
}