Pith Number

pith:3HTLYIFH

pith:2015:3HTLYIFHNKRIPOA4TLPJLCDI5K

not attested not anchored not stored refs pending

Extended Plefka Expansion for Stochastic Dynamics

Barbara Bravi, Manfred Opper, Peter Sollich

arxiv:1509.07066 v2 · 2015-09-23 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HTLYIFHNKRIPOA4TLPJLCDI5K}

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	2026-05-18T00:41:53.855724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9e6bc20a76aa287b81c9ade958868ea989c492bd6ab77846c09f333ae3041cf

Aliases

arxiv: 1509.07066 · arxiv_version: 1509.07066v2 · doi: 10.48550/arxiv.1509.07066 · pith_short_12: 3HTLYIFHNKRI · pith_short_16: 3HTLYIFHNKRIPOA4 · pith_short_8: 3HTLYIFH

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/3HTLYIFHNKRIPOA4TLPJLCDI5K \
  | 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: d9e6bc20a76aa287b81c9ade958868ea989c492bd6ab77846c09f333ae3041cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335ec3202e7bfc159c955c8d46ccd3a5e1ceb284401bc0dda24e478db74468b0",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2015-09-23T17:15:22Z",
    "title_canon_sha256": "d271ef854d58b46fe8cd13f9194d2871aa5d76038f1888c57e2cefcd2c3d6789"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07066",
    "kind": "arxiv",
    "version": 2
  }
}