Pith Number

pith:Y3Z4L4HK

pith:2014:Y3Z4L4HK7KUPQERTWMIEWVBVQV

not attested not anchored not stored refs pending

Concentration for matrix martingales in continuous time and microscopic activity of social networks

Emmanuel Bacry, Jean-Fran\c{c}ois Muzy, St\'ephane Ga\"iffas

arxiv:1412.7705 v2 · 2014-12-24 · math.PR · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3Z4L4HK7KUPQERTWMIEWVBVQV}

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	2026-05-18T01:01:08.965443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6f3c5f0eafaa8f81233b3104b54358566e114af71b6af41d26b03c546b7387a

Aliases

arxiv: 1412.7705 · arxiv_version: 1412.7705v2 · doi: 10.48550/arxiv.1412.7705 · pith_short_12: Y3Z4L4HK7KUP · pith_short_16: Y3Z4L4HK7KUPQERT · pith_short_8: Y3Z4L4HK

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/Y3Z4L4HK7KUPQERTWMIEWVBVQV \
  | 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: c6f3c5f0eafaa8f81233b3104b54358566e114af71b6af41d26b03c546b7387a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3683e481b09e60698eafb9baaa039ded92f4987a808ec9f61b3acc51c9a66563",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-24T16:28:07Z",
    "title_canon_sha256": "aec61a62f852d9410951e9fd294d0ddf7e4f17c313f32d3752880c23b679e91d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7705",
    "kind": "arxiv",
    "version": 2
  }
}