Pith Number

pith:L2DQAF2Y

pith:2016:L2DQAF2YKREPVLA4H4JYUS43HE

not attested not anchored not stored refs pending

Large excursions and conditioned laws for recursive sequences generated by random matrices

Jeffrey F. Collamore, Sebastian Mentemeier

arxiv:1608.05175 v1 · 2016-08-18 · 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{L2DQAF2YKREPVLA4H4JYUS43HE}

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	2026-05-18T01:08:31.724354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e870017585448faac1c3f138a4b9b39289e3b4ef9dd97d0b385635609a00036

Aliases

arxiv: 1608.05175 · arxiv_version: 1608.05175v1 · doi: 10.48550/arxiv.1608.05175 · pith_short_12: L2DQAF2YKREP · pith_short_16: L2DQAF2YKREPVLA4 · pith_short_8: L2DQAF2Y

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/L2DQAF2YKREPVLA4H4JYUS43HE \
  | 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: 5e870017585448faac1c3f138a4b9b39289e3b4ef9dd97d0b385635609a00036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d2c9737535abf31951050fdd83898aa0575fc0dac72a20d00de7a1b24e1a311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-18T05:01:26Z",
    "title_canon_sha256": "f7445cd3b77c3c84ac414c81064598a64bdfe9798a5180174cf25a44a7e52b55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05175",
    "kind": "arxiv",
    "version": 1
  }
}