Pith Number

pith:ASWNH3EF

pith:2010:ASWNH3EF5WWHLSSDDLJX66SVAE

not attested not anchored not stored refs pending

From Rates of mixing to recurrence times via large deviations

Jorge Milhazes Freitas, Jos\'e F. Alves, Sandro Vaienti, Stefano Luzzatto

arxiv:1007.3771 v1 · 2010-07-21 · 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{ASWNH3EF5WWHLSSDDLJX66SVAE}

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	2026-05-18T03:45:42.068583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04acd3ec85edac75ca431ad37f7a550134a348a7c7c9b55e2d22cff0b3b93f18

Aliases

arxiv: 1007.3771 · arxiv_version: 1007.3771v1 · doi: 10.48550/arxiv.1007.3771 · pith_short_12: ASWNH3EF5WWH · pith_short_16: ASWNH3EF5WWHLSSD · pith_short_8: ASWNH3EF

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/ASWNH3EF5WWHLSSDDLJX66SVAE \
  | 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: 04acd3ec85edac75ca431ad37f7a550134a348a7c7c9b55e2d22cff0b3b93f18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f35c546eba1b16f8f76b2fe418c6ef9575bf2f6b7bd76873ca9ac667640d6a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-07-21T22:39:45Z",
    "title_canon_sha256": "da979229158feafa84c68c534ed45e252d12928ea0fdaa622d7721892836bb32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3771",
    "kind": "arxiv",
    "version": 1
  }
}