Pith Number

pith:4WGBMZNI

pith:2011:4WGBMZNIJHLCWT54QGGG7NQKDR

not attested not anchored not stored refs pending

Modeling microstructure noise with mutually exciting point processes

E. Bacry, J.F. Muzy, M. Hoffmann, S. Delattre

arxiv:1101.3422 v1 · 2011-01-18 · q-fin.TR · 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{4WGBMZNIJHLCWT54QGGG7NQKDR}

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	2026-05-18T02:22:51.742656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e58c1665a849d62b4fbc818c6fb60a1c703e8ad9053f11034449f8a4a60c0a61

Aliases

arxiv: 1101.3422 · arxiv_version: 1101.3422v1 · doi: 10.48550/arxiv.1101.3422 · pith_short_12: 4WGBMZNIJHLC · pith_short_16: 4WGBMZNIJHLCWT54 · pith_short_8: 4WGBMZNI

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/4WGBMZNIJHLCWT54QGGG7NQKDR \
  | 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: e58c1665a849d62b4fbc818c6fb60a1c703e8ad9053f11034449f8a4a60c0a61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0bcf9f39c44d1bf09d8a955cde1293e7daa7f47156f8f1dc8de069a1b823d72",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.TR",
    "submitted_at": "2011-01-18T10:46:01Z",
    "title_canon_sha256": "0598478720d90eecd40401ab21c0b979ba7e9cd6ae1cfec9a7aba1e7f45bb80f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3422",
    "kind": "arxiv",
    "version": 1
  }
}