Pith Number

pith:567Z43RG

pith:2015:567Z43RGY5YGRQU3FNW5L5C35N

not attested not anchored not stored refs pending

Sawtooth models and asymptotic independence in large compositions

Pierre Tarrago

arxiv:1501.06596 v1 · 2015-01-26 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{567Z43RGY5YGRQU3FNW5L5C35N}

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	2026-05-18T02:28:39.529229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efbf9e6e26c77068c29b2b6dd5f45beb66f2b8fe8c77d5de74968225a90988a0

Aliases

arxiv: 1501.06596 · arxiv_version: 1501.06596v1 · doi: 10.48550/arxiv.1501.06596 · pith_short_12: 567Z43RGY5YG · pith_short_16: 567Z43RGY5YGRQU3 · pith_short_8: 567Z43RG

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/567Z43RGY5YGRQU3FNW5L5C35N \
  | 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: efbf9e6e26c77068c29b2b6dd5f45beb66f2b8fe8c77d5de74968225a90988a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d6ad3c75f571afde44fdf56b462e5799207c276fd6c247ec4e46c1a7e351f5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-26T21:46:50Z",
    "title_canon_sha256": "9d01b501a0e09708c804660e4d1f29241fd2affe763726e6ba354390cb691608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06596",
    "kind": "arxiv",
    "version": 1
  }
}