Pith Number

pith:42E2CLWN

pith:2014:42E2CLWNWK6TAD2OCSWD4KWR6R

not attested not anchored not stored refs pending

Optimal bounds for periodic mixtures of ferromagnetic interactions

Andrea Braides

arxiv:1406.7152 v1 · 2014-06-27 · math-ph · math.AP · 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{42E2CLWNWK6TAD2OCSWD4KWR6R}

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	2026-05-18T02:48:53.975620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e689a12ecdb2bd300f4e14ac3e2ad1f447e57b954980a3acd923139c445a213b

Aliases

arxiv: 1406.7152 · arxiv_version: 1406.7152v1 · doi: 10.48550/arxiv.1406.7152 · pith_short_12: 42E2CLWNWK6T · pith_short_16: 42E2CLWNWK6TAD2O · pith_short_8: 42E2CLWN

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/42E2CLWNWK6TAD2OCSWD4KWR6R \
  | 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: e689a12ecdb2bd300f4e14ac3e2ad1f447e57b954980a3acd923139c445a213b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "635f0d65c01f5712bd092b7decf8cef5a7d83190467ce51e6967c2512396f7f6",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-06-27T11:16:07Z",
    "title_canon_sha256": "723900125e46acc94eb0aa92adbc8af41c9fbc6cf4cc50fb590b8ec533412d3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7152",
    "kind": "arxiv",
    "version": 1
  }
}