Pith Number

pith:D3BBA6MT

pith:2000:D3BBA6MTITRKYQUT6KHJYS5YBP

not attested not anchored not stored refs pending

Linear repetitivity, I. Uniform subadditive ergodic theorems and applications

Daniel Lenz, David Damanik

arxiv:math/0005062 v1 · 2000-05-06 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3BBA6MTITRKYQUT6KHJYS5YBP}

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	2026-05-18T02:26:32.181102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ec210799344e2ac4293f28e9c4bb80bcd0a04edad4668315de9dd045ac8ca3a

Aliases

arxiv: math/0005062 · arxiv_version: math/0005062v1 · doi: 10.48550/arxiv.math/0005062 · pith_short_12: D3BBA6MTITRK · pith_short_16: D3BBA6MTITRKYQUT · pith_short_8: D3BBA6MT

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/D3BBA6MTITRKYQUT6KHJYS5YBP \
  | 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: 1ec210799344e2ac4293f28e9c4bb80bcd0a04edad4668315de9dd045ac8ca3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7fcdb074b6ad6515ca096559db15a4f5192e6217b2a174c52d66db77cf61460",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2000-05-06T20:27:15Z",
    "title_canon_sha256": "9f93740a1789322e220620699b331be9e9f0475c3717619aad7569984b0fb4cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005062",
    "kind": "arxiv",
    "version": 1
  }
}