Pith Number

pith:VGTK24P2

pith:2013:VGTK24P2J2LXSRR67UGUBK747P

not attested not anchored not stored refs pending

Projective stochastic equations and nonlinear long memory

Donatas Surgailis, Ieva Grublyt\.e

arxiv:1312.1938 v1 · 2013-12-06 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGTK24P2J2LXSRR67UGUBK747P}

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	2026-05-18T03:05:19.388181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a6ad71fa4e9779463efd0d40abfcfbc8d9aabd3619556a632e456757e8132f

Aliases

arxiv: 1312.1938 · arxiv_version: 1312.1938v1 · doi: 10.48550/arxiv.1312.1938 · pith_short_12: VGTK24P2J2LX · pith_short_16: VGTK24P2J2LXSRR6 · pith_short_8: VGTK24P2

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/VGTK24P2J2LXSRR67UGUBK747P \
  | 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: a9a6ad71fa4e9779463efd0d40abfcfbc8d9aabd3619556a632e456757e8132f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb78f8b541aef8fd0d51e64e38a03afaaf0a4618c5dc4c12c2c3846957de54c9",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-06T17:33:59Z",
    "title_canon_sha256": "ab8f3a8cd621b4854a526badca555961bd61e875bc06aa70d0c0571a9310c9d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1938",
    "kind": "arxiv",
    "version": 1
  }
}