Pith Number

pith:HJ34YHSQ

pith:2012:HJ34YHSQRJZM3W3QTX3EV4VCVR

not attested not anchored not stored refs pending

A class of nonergodic interacting particle systems with unique invariant measure

Benedikt Jahnel, Christof K\"ulske

arxiv:1208.5433 v4 · 2012-08-27 · 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{HJ34YHSQRJZM3W3QTX3EV4VCVR}

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	2026-05-18T02:43:00.942936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a77cc1e508a72cddb709df64af2a2ac600dd65d03affb948155c6282fd8d200

Aliases

arxiv: 1208.5433 · arxiv_version: 1208.5433v4 · doi: 10.48550/arxiv.1208.5433 · pith_short_12: HJ34YHSQRJZM · pith_short_16: HJ34YHSQRJZM3W3Q · pith_short_8: HJ34YHSQ

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/HJ34YHSQRJZM3W3QTX3EV4VCVR \
  | 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: 3a77cc1e508a72cddb709df64af2a2ac600dd65d03affb948155c6282fd8d200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d5e68442703b9b1c90538925b6af29b11fc3192869358d2b559e5ce0f6f94b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-27T16:24:49Z",
    "title_canon_sha256": "83ee2a652f521c8502e82182e05fe5844b5138f2a85766de55a00568a45a7786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5433",
    "kind": "arxiv",
    "version": 4
  }
}