Pith Number

pith:ZDUFGKL2

pith:2016:ZDUFGKL2DGDAMB2C5YC4LSXOFR

not attested not anchored not stored refs pending

Decay of correlations and laws of rare events for transitive random maps

Hale Aytac, Vitor Araujo

arxiv:1610.06123 v3 · 2016-10-19 · math.DS · 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{ZDUFGKL2DGDAMB2C5YC4LSXOFR}

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	2026-05-18T00:46:07.939296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e853297a1986060742ee05c5caee2c5907388bf8438eb7ffc20301eb36b695

Aliases

arxiv: 1610.06123 · arxiv_version: 1610.06123v3 · doi: 10.48550/arxiv.1610.06123 · pith_short_12: ZDUFGKL2DGDA · pith_short_16: ZDUFGKL2DGDAMB2C · pith_short_8: ZDUFGKL2

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/ZDUFGKL2DGDAMB2C5YC4LSXOFR \
  | 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: c8e853297a1986060742ee05c5caee2c5907388bf8438eb7ffc20301eb36b695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d32bdfbcf13409a0b24037605349b785d3500b581c95156163328be67922caa5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-19T17:41:03Z",
    "title_canon_sha256": "c7f3e60638445f3ec6a2475f383d39006408d1ef25165cdfe14c064befe01b74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06123",
    "kind": "arxiv",
    "version": 3
  }
}