Pith Number

pith:4H4ENAFV

pith:2016:4H4ENAFV4E3BFQSKTRLXANQYRO

not attested not anchored not stored refs pending

Discreteness-induced transitions in multi-body reaction systems

Kunihiko Kaneko, Tetsuya J. Kobayashi, Yohei Saito, Yuki Sughiyama

arxiv:1605.06273 v1 · 2016-05-20 · cond-mat.stat-mech · q-bio.BM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4H4ENAFV4E3BFQSKTRLXANQYRO}

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	2026-05-18T01:05:43.178377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1f84680b5e13612c24a9c577036188b9341b9f67572f65f6a6fa6a3a59826fe

Aliases

arxiv: 1605.06273 · arxiv_version: 1605.06273v1 · doi: 10.48550/arxiv.1605.06273 · pith_short_12: 4H4ENAFV4E3B · pith_short_16: 4H4ENAFV4E3BFQSK · pith_short_8: 4H4ENAFV

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/4H4ENAFV4E3BFQSKTRLXANQYRO \
  | 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: e1f84680b5e13612c24a9c577036188b9341b9f67572f65f6a6fa6a3a59826fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f12c5b22cb47046cb7f183b005ec1f62f2eb71e2707afdda308a49ae2014078b",
    "cross_cats_sorted": [
      "q-bio.BM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-05-20T10:21:17Z",
    "title_canon_sha256": "a4c9eed84db7808f31bf08f02c262cd7774e4f2548893a267a48ad83f5d5a7c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06273",
    "kind": "arxiv",
    "version": 1
  }
}