Pith Number

pith:2RAZY7LO

pith:2011:2RAZY7LOZSAOJXAEJS7TCHTOG5

not attested not anchored not stored refs pending

Diffusion in Energy Conserving Coupled Maps

Antti Kupiainen, Jean Bricmont

arxiv:1102.3831 v2 · 2011-02-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RAZY7LOZSAOJXAEJS7TCHTOG5}

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	2026-05-18T03:46:03.992450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4419c7d6ecc80e4dc044cbf311e6e375f3e155ec9d365c98fab0dea5506db63

Aliases

arxiv: 1102.3831 · arxiv_version: 1102.3831v2 · doi: 10.48550/arxiv.1102.3831 · pith_short_12: 2RAZY7LOZSAO · pith_short_16: 2RAZY7LOZSAOJXAE · pith_short_8: 2RAZY7LO

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/2RAZY7LOZSAOJXAEJS7TCHTOG5 \
  | 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: d4419c7d6ecc80e4dc044cbf311e6e375f3e155ec9d365c98fab0dea5506db63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6289715e1c055c26d75486b7ba87f2d1b0ea035345f48ae14e84b83e62b89dfa",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-18T13:24:52Z",
    "title_canon_sha256": "678249bf9a22f74d2a76a4b7e8b3f9e6ac3f9e07b385b34022342b6d1ab25db1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3831",
    "kind": "arxiv",
    "version": 2
  }
}