Pith Number

pith:TIWA5LCY

pith:2011:TIWA5LCYRSQBZPGUJ5TWXA3XGH

not attested not anchored not stored refs pending

Spectral condition, hitting times and Nash inequality

Dasha Loukianova, Eva Loecherbach, Oleg Loukianov

arxiv:1103.4622 v3 · 2011-03-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIWA5LCYRSQBZPGUJ5TWXA3XGH}

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	2026-05-18T04:03:43.392735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a2c0eac588ca01cbcd44f676b837731d54e40eea07cf162ab87004f5b2c490e

Aliases

arxiv: 1103.4622 · arxiv_version: 1103.4622v3 · doi: 10.48550/arxiv.1103.4622 · pith_short_12: TIWA5LCYRSQB · pith_short_16: TIWA5LCYRSQBZPGU · pith_short_8: TIWA5LCY

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/TIWA5LCYRSQBZPGUJ5TWXA3XGH \
  | 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: 9a2c0eac588ca01cbcd44f676b837731d54e40eea07cf162ab87004f5b2c490e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9800cf65ba9dcb6949433d84685f6065c61b76b73aab5aad994fb0548de5305",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-23T20:30:43Z",
    "title_canon_sha256": "fe4fc0a7d6afbeda8b6e4c1d9528884837157e3fdcc627d8866d52f98b55afbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4622",
    "kind": "arxiv",
    "version": 3
  }
}