Pith Number

pith:4ZW4H7QD

pith:2019:4ZW4H7QDOPWV4EC6LHZQEORGX6

not attested not anchored not stored refs pending

Aging in the long-range Ising model

Henrik Christiansen, Malte Henkel, Suman Majumder, Wolfhard Janke

arxiv:1906.11815 v2 · 2019-06-27 · cond-mat.stat-mech · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZW4H7QDOPWV4EC6LHZQEORGX6}

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	2026-07-05T01:48:42.071835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66dc3fe0373ed5e105e59f3023a26bf821440161e25eb3ae854ec98b7d83f64

Aliases

arxiv: 1906.11815 · arxiv_version: 1906.11815v2 · doi: 10.48550/arxiv.1906.11815 · pith_short_12: 4ZW4H7QDOPWV · pith_short_16: 4ZW4H7QDOPWV4EC6 · pith_short_8: 4ZW4H7QD

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/4ZW4H7QDOPWV4EC6LHZQEORGX6 \
  | 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: e66dc3fe0373ed5e105e59f3023a26bf821440161e25eb3ae854ec98b7d83f64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a583c9629277bb8f93a2abfb60ddf1a9d787390a0b42366d067a39de9f7ff36c",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-06-27T17:48:29Z",
    "title_canon_sha256": "500bade33fa5ffd45837b870edad3c0e891c35e2cc7c871c75828fd91585faf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11815",
    "kind": "arxiv",
    "version": 2
  }
}