Pith Number

pith:WKCPZFMO

pith:2011:WKCPZFMOXMRFLNJ2C7BT4TFO34

not attested not anchored not stored refs pending

On stochastic differential equations with random delay

J.M. Luck, K. Mallick, P.L. Krapivsky

arxiv:1108.1298 v2 · 2011-08-05 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKCPZFMOXMRFLNJ2C7BT4TFO34}

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	2026-05-18T04:11:28.233991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b284fc958ebb2255b53a17c33e4caedf3270d7ef9b25880ff8cc7c8ea0a8b12f

Aliases

arxiv: 1108.1298 · arxiv_version: 1108.1298v2 · doi: 10.48550/arxiv.1108.1298 · pith_short_12: WKCPZFMOXMRF · pith_short_16: WKCPZFMOXMRFLNJ2 · pith_short_8: WKCPZFMO

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/WKCPZFMOXMRFLNJ2C7BT4TFO34 \
  | 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: b284fc958ebb2255b53a17c33e4caedf3270d7ef9b25880ff8cc7c8ea0a8b12f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac907e7a9598f7d877f696f669382ec285a03e07cf1539c54eaba552e6286c83",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-08-05T10:40:05Z",
    "title_canon_sha256": "81031d2a0d0d9b336717a5e720a2bbc8c89c95a70ad0e0797cca92cb78f18622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1298",
    "kind": "arxiv",
    "version": 2
  }
}