Pith Number

pith:UHJVIVJK

pith:2016:UHJVIVJKFHUNG2PLIPRTARKPVV

not attested not anchored not stored refs pending

Discrete-time trawl processes with long memory

Adam Jakubowski, Donatas Surgailis, Paul Doukhan, Silvia Lopes

arxiv:1610.04880 v1 · 2016-10-16 · 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{UHJVIVJKFHUNG2PLIPRTARKPVV}

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	2026-05-18T01:02:06.849814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1d354552a29e8d369eb43e330454fad5c1f817d5933bf1de9a63eca049ae970

Aliases

arxiv: 1610.04880 · arxiv_version: 1610.04880v1 · doi: 10.48550/arxiv.1610.04880 · pith_short_12: UHJVIVJKFHUN · pith_short_16: UHJVIVJKFHUNG2PL · pith_short_8: UHJVIVJK

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/UHJVIVJKFHUNG2PLIPRTARKPVV \
  | 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: a1d354552a29e8d369eb43e330454fad5c1f817d5933bf1de9a63eca049ae970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a58f5aa4c32d6d9e02d3ef719f8296ba0202d07005c3e36e6e2d9ce0f40a572b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-16T16:17:31Z",
    "title_canon_sha256": "f9d1eb92211c4dca21024de06824807a080eb85581647fc55758d351fb56157e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04880",
    "kind": "arxiv",
    "version": 1
  }
}