Pith Number

pith:BTFLNA6T

pith:2014:BTFLNA6TVDN2ZWBBTOSBW5FO2I

not attested not anchored not stored refs pending

Rate of convergence of the mean for sub-additive ergodic sequences

Antonio Auffinger, Jack Hanson, Michael Damron

arxiv:1408.4444 v2 · 2014-08-19 · 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{BTFLNA6TVDN2ZWBBTOSBW5FO2I}

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	2026-05-18T02:39:40.157117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ccab683d3a8dbacd8219ba41b74aed205c3f2b6ab034a4d7ec8939aa0df0a2c

Aliases

arxiv: 1408.4444 · arxiv_version: 1408.4444v2 · doi: 10.48550/arxiv.1408.4444 · pith_short_12: BTFLNA6TVDN2 · pith_short_16: BTFLNA6TVDN2ZWBB · pith_short_8: BTFLNA6T

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/BTFLNA6TVDN2ZWBBTOSBW5FO2I \
  | 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: 0ccab683d3a8dbacd8219ba41b74aed205c3f2b6ab034a4d7ec8939aa0df0a2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d2a67e162849b413c044eac94e399f2d1734d76372a76d973b744faf003251",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-19T19:55:59Z",
    "title_canon_sha256": "011bd5ba994251b1a16ebbeb868792ffe7086bab1d10c5e812043d906f108710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4444",
    "kind": "arxiv",
    "version": 2
  }
}